الواجب الخامس رياضيات

الواجب الخامس رياضيات

bold left square bracket bold minus bold 2 bold comma bold 5 bold right square bracket bold intersection bold left parenthesis bold 3 bold comma bold 6 bold right square bracket bold equals bold left parenthesis bold 3 bold comma bold 5 bold right square bracket

bold left square bracket bold minus bold 2 bold comma bold 5 bold right square bracket bold intersection bold left parenthesis bold 3 bold comma bold 6 bold right square bracket bold equals bold left parenthesis bold 3 bold comma bold 5 bold right square bracket

bold left parenthesis bold minus bold infinity bold comma bold 1 bold right square bracket bold intersection bold left square bracket bold minus bold 4 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold minus bold 4 bold comma bold 1 bold right square bracket

bold left parenthesis bold minus bold infinity bold comma bold 1 bold right square bracket bold intersection bold left square bracket bold minus bold 4 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold minus bold 4 bold comma bold 1 bold right square bracket

The interval notation for the set bold left curly bracket bold italic x bold colon bold italic x bold less or equal than bold minus bold 7 bold space bold italic o bold italic r bold space bold italic x bold greater or equal than bold 3 bold right curly bracket is:

A.
B.
C.
D.
The interval notation for the set bold left curly bracket bold italic x bold colon bold italic x bold less or equal than bold minus bold 7 bold space bold italic o bold italic r bold space bold italic x bold greater or equal than bold 3 bold right curly bracket is:

One of the following is a solution to the system open curly brackets table row cell bold italic x bold minus bold italic y bold greater than bold 0 end cell row cell bold italic x bold plus bold italic y bold greater than bold 3 end cell end table close:

A.
B.
C.
D.
One of the following is a solution to the system open curly brackets table row cell bold italic x bold minus bold italic y bold greater than bold 0 end cell row cell bold italic x bold plus bold italic y bold greater than bold 3 end cell end table close:

The interval bold left square bracket bold italic d bold comma bold space bold italic c bold right square bracket is defined as the set of all numbers x for which bold italic c bold less or equal than bold italic x bold less or equal than bold italic d

The solution set of bold vertical line bold 2 bold minus bold 4 bold italic x bold vertical line bold equals bold 10 is

The interval notation for the set bold left curly bracket bold italic x bold colon bold italic x bold greater than bold minus bold 9 bold right curly bracket is:

A.
B.
C.
D.
The interval notation for the set bold left curly bracket bold italic x bold colon bold italic x bold greater than bold minus bold 9 bold right curly bracket is:

The solution of bold vertical line bold italic y bold vertical line bold less than bold 4 is bold left parenthesis bold minus bold infinity bold comma bold 4 bold right parenthesis bold union bold left parenthesis bold 4 bold comma bold infinity bold right parenthesis.

The solution of bold vertical line bold italic y bold vertical line bold less than bold 4 is bold left parenthesis bold minus bold infinity bold comma bold 4 bold right parenthesis bold union bold left parenthesis bold 4 bold comma bold infinity bold right parenthesis.

One of the following is a solution to the system open curly brackets table row cell bold 2 bold italic x bold minus bold italic y bold less than bold 3 end cell row cell bold 3 bold italic x bold minus bold italic y bold less than bold 2 end cell end table close:

A.
B.
C.
D.
One of the following is a solution to the system open curly brackets table row cell bold 2 bold italic x bold minus bold italic y bold less than bold 3 end cell row cell bold 3 bold italic x bold minus bold italic y bold less than bold 2 end cell end table close:

One of the following is a solution to the system open curly brackets table row cell bold italic y bold greater than bold 0 end cell row cell bold italic x bold plus bold italic y bold less than bold 4 end cell end table close:

A.
B.
C.
D.
One of the following is a solution to the system open curly brackets table row cell bold italic y bold greater than bold 0 end cell row cell bold italic x bold plus bold italic y bold less than bold 4 end cell end table close:

One of the following is a solution to the system open curly brackets table row cell bold italic x bold plus bold italic y bold less or equal than bold 3 end cell row cell bold italic x bold minus bold italic y bold less than bold 4 end cell end table close:

A.
B.
C.
D.
One of the following is a solution to the system open curly brackets table row cell bold italic x bold plus bold italic y bold less or equal than bold 3 end cell row cell bold italic x bold minus bold italic y bold less than bold 4 end cell end table close:

One of the following is a solution to the system open curly brackets table row cell bold italic x bold plus bold 2 bold italic y bold less or equal than bold 7 end cell row cell bold italic x bold plus bold italic y bold greater than bold 4 end cell end table close:

A.
B.
C.
D.
One of the following is a solution to the system open curly brackets table row cell bold italic x bold plus bold 2 bold italic y bold less or equal than bold 7 end cell row cell bold italic x bold plus bold italic y bold greater than bold 4 end cell end table close:
One of the following is a solution to the system open curly brackets table row cell bold italic x bold plus bold italic y bold less or equal than bold 5 end cell row cell bold 2 bold italic x bold minus bold italic y bold less than bold 8 end cell end table close:

One of the following is a solution to the system open curly brackets table row cell bold italic x bold plus bold italic y bold less or equal than bold 5 end cell row cell bold 2 bold italic x bold minus bold italic y bold less than bold 8 end cell end table close:

A.
B.
C.
D.

One of the following is a solution to the system open curly brackets table row cell bold 2 bold italic x bold plus bold 3 bold italic y bold greater than bold 4 end cell row cell bold italic x bold plus bold 4 bold italic y bold less than bold 9 end cell end table close:

A.
B.
C.
D.
One of the following is a solution to the system open curly brackets table row cell bold 2 bold italic x bold plus bold 3 bold italic y bold greater than bold 4 end cell row cell bold italic x bold plus bold 4 bold italic y bold less than bold 9 end cell end table close:

The interval notation for the set bold left curly bracket bold italic x bold colon bold italic x bold less or equal than bold 7 bold right curly bracket is:

A.
B.
C.
D.
The interval notation for the set bold left curly bracket bold italic x bold colon bold italic x bold less or equal than bold 7 bold right curly bracket is:

Solve: bold 3 bold italic y bold minus bold 3 bold less than bold minus bold 9 bold space bold italic a bold italic n bold italic d bold space bold 3 bold italic y bold minus bold 3 bold less than bold 6

Solve: bold 3 bold italic y bold minus bold 3 bold less than bold minus bold 9 bold space bold italic a bold italic n bold italic d bold space bold 3 bold italic y bold minus bold 3 bold less than bold 6
A.
B.
C.
D.

If bold italic x is negative, then bold vertical line bold italic x bold vertical line bold equals bold italic x.

If bold italic x is negative, then bold vertical line bold italic x bold vertical line bold equals bold italic x.

The solution of bold vertical line bold italic x bold vertical line bold greater or equal than bold 5 is bold left parenthesis bold minus bold infinity bold comma bold 5 bold right square bracket bold union bold left square bracket bold 5 bold comma bold infinity bold right parenthesis.

The solution of bold vertical line bold italic x bold vertical line bold greater or equal than bold 5 is bold left parenthesis bold minus bold infinity bold comma bold 5 bold right square bracket bold union bold left square bracket bold 5 bold comma bold infinity bold right parenthesis. فيها شك طلعت لي النتيجة صفر مع ان الجواب هو خطا

One of the following is a solution to the system open curly brackets table row cell bold 4 bold italic x bold plus bold 2 bold italic y bold less than bold 5 end cell row cell bold italic x bold minus bold italic y bold less than bold 2 end cell end table close:

A.
B.
C.
D.
One of the following is a solution to the system open curly brackets table row cell bold 4 bold italic x bold plus bold 2 bold italic y bold less than bold 5 end cell row cell bold italic x bold minus bold italic y bold less than bold 2 end cell end table close:

The solution of begin mathsize 20px style root index bold 3 of bold 2 bold italic x bold plus bold 7 end root bold minus bold 3 bold equals bold 0 end style is 10

The simplification of begin mathsize 20px style root index bold 6 of bold italic y to the power of bold 3 end root end style is begin mathsize 20px style square root of bold italic y to the power of bold 2 end root end style.

The following graph represents the graph of the function..............




 

A.
B.
C.
D.
One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold 2 bold italic x bold plus bold 3 bold italic y bold greater than bold 4 end cell row cell bold italic x bold plus bold 4 bold italic y bold less than bold 9 end cell end table close end style:

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold 2 bold italic x bold plus bold 3 bold italic y bold greater than bold 4 end cell row cell bold italic x bold plus bold 4 bold italic y bold less than bold 9 end cell end table close end style:

A.
B.
C.
D.

Add and simplify: begin mathsize 20px style bold 5 square root of bold 2 bold italic x end root bold plus bold 3 square root of bold 8 bold italic x end root end style

A.
B.
C.
D.

The distance between begin mathsize 20px style bold minus bold 20 bold space bold and bold space bold minus bold 1 end style is begin mathsize 20px style bold minus bold 19 end style.

Simplify begin mathsize 20px style bold left parenthesis square root of bold 2 bold plus square root of bold x bold right parenthesis bold left parenthesis square root of bold 2 bold minus square root of bold x bold right parenthesis end style

Simplify begin mathsize 20px style bold left parenthesis square root of bold 2 bold plus square root of bold x bold right parenthesis bold left parenthesis square root of bold 2 bold minus square root of bold x bold right parenthesis end style

A.
B.
C.
D.
The solution of begin mathsize 20px style square root of bold x minus bold italic x bold equals bold 0 end style is

  The solution of  begin mathsize 20px style square root of bold x minus bold italic x bold equals bold 0 end style is

A.
B.
C.
D.

begin mathsize 20px style bold vertical line bold italic a bold italic b bold vertical line bold equals bold vertical line bold italic a bold vertical line bold times bold vertical line bold italic b bold vertical line end style, for any real numbers begin mathsize 20px style bold italic a bold space bold and bold space bold italic b end style.

 begin mathsize 20px style bold left parenthesis square root of bold italic x bold plus bold 1 bold right parenthesis bold left parenthesis square root of bold italic x bold minus bold 1 bold right parenthesis bold equals bold italic x bold minus bold 1 end style 

The following graph represents the graph of the solutions of the system ................



A.
B.
C.
D.

The solution of begin mathsize 20px style bold vertical line bold 2 bold italic x bold plus bold 7 bold vertical line bold less than bold 5 end style is:

A.
B.
C.
D.

Let begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold 2 bold plus bold x to the power of bold 2 end root end style then begin mathsize 20px style bold italic f bold left parenthesis bold 0 bold right parenthesis equals end style

A.
B.
C.
D.

Solve: begin mathsize 20px style bold 3 bold italic y bold minus bold 3 bold less than bold minus bold 9 bold space bold italic a bold italic n bold italic d bold space bold 3 bold italic y bold minus bold 3 bold less than bold 6 end style

A.
B.
C.
D.

The solution set of begin mathsize 20px style bold vertical line bold 7 bold italic x bold vertical line bold equals bold vertical line bold 6 bold minus bold 4 bold italic x bold vertical line end style is

A.
B.
C.
D.
The solution set of the equation bold vertical line bold 3 bold italic x bold plus bold 3 bold vertical line bold equals bold minus bold 6 is: The solution set of the equation begin mathsize 20px style bold vertical line bold 3 bold italic x bold plus bold 3 bold vertical line bold equals bold minus bold 6 end style is:

The solution set of the equation begin mathsize 20px style bold vertical line bold 3 bold italic x bold plus bold 3 bold vertical line bold equals bold minus bold 6 end style is:

A.
B.
C.
D.

begin mathsize 20px style bold 7 end style is a solution of the inequality begin mathsize 20px style bold 2 bold italic x bold plus bold 3 bold greater or equal than bold 36 end style

The solution of begin mathsize 20px style bold vertical line bold italic y bold vertical line bold less than bold 4 end style is begin mathsize 20px style bold left parenthesis bold minus bold infinity bold comma bold 4 bold right parenthesis bold union bold left parenthesis bold 4 bold comma bold infinity bold right parenthesis end style.

For any nonnegative real numbers begin mathsize 20px style bold italic x end style and begin mathsize 20px style bold italic y end style and any index begin mathsize 20px style bold italic k end stylebegin mathsize 20px style bold italic k-th root of bold italic x bold minus bold italic k-th root of bold italic y bold equals bold italic k-th root of bold italic x bold minus bold italic y end root end style


Divide and simplify: begin mathsize 20px style fraction numerator root index bold 4 of bold 48 bold italic x to the power of bold 9 bold italic y to the power of bold 13 end root over denominator root index bold 4 of bold 3 bold italic x bold italic y to the power of bold 5 end root end fraction end style

Divide and simplify: begin mathsize 20px style fraction numerator root index bold 4 of bold 48 bold italic x to the power of bold 9 bold italic y to the power of bold 13 end root over denominator root index bold 4 of bold 3 bold italic x bold italic y to the power of bold 5 end root end fraction end style

A.
B.
C.
D.

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold italic x bold greater than bold minus bold 9 bold right curly bracket end style is:

A.
B.
C.
D.

begin mathsize 20px style bold left parenthesis bold minus bold infinity bold comma bold 1 bold right square bracket bold intersection bold left square bracket bold minus bold 4 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold minus bold 4 bold comma bold 1 bold right square bracket end style

The solution set of begin mathsize 20px style bold vertical line bold 2 bold italic x bold vertical line bold greater or equal than bold 6 end style is

The solution set of begin mathsize 20px style bold vertical line bold 2 bold italic x bold vertical line bold greater or equal than bold 6 end style is

A.
B.
C.
D.
The solution set of the equation bold vertical line bold 2 bold italic x bold minus bold 2 bold vertical line bold equals bold vertical line bold italic x bold minus bold 7 bold vertical line is: The solution set of the equation begin mathsize 20px style bold vertical line bold 2 bold italic x bold minus bold 2 bold vertical line bold equals bold vertical line bold italic x bold minus bold 7 bold vertical line end style is:

The solution set of the equation begin mathsize 20px style bold vertical line bold 2 bold italic x bold minus bold 2 bold vertical line bold equals bold vertical line bold italic x bold minus bold 7 bold vertical line end style is:

A.
B.
C.
D.
The interval begin mathsize 20px style bold left parenthesis bold italic c bold comma bold space bold italic d bold right square bracket end style is defined as the set of all numbers begin mathsize 20px style bold italic x end style for which begin mathsize 20px style bold italic c bold less or equal than bold italic x bold less than bold italic d end style

The interval begin mathsize 20px style bold left parenthesis bold italic c bold comma bold space bold italic d bold right square bracket end style is defined as the set of all numbers begin mathsize 20px style bold italic x end style for which begin mathsize 20px style bold italic c bold less or equal than bold italic x bold less than bold italic d end style

The following graph represents the graph of the function..............



 



 

A.
B.
C.
D.

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold italic y bold greater than bold 0 end cell row cell bold italic x bold plus bold italic y bold less than bold 4 end cell end table close end style:

A.
B.
C.
D.
Simplify begin mathsize 20px style bold left parenthesis square root of bold x bold plus square root of bold 2 bold right parenthesis bold left parenthesis square root of bold x bold minus square root of bold 2 bold right parenthesis end style


Simplify begin mathsize 20px style bold left parenthesis square root of bold x bold plus square root of bold 2 bold right parenthesis bold left parenthesis square root of bold x bold minus square root of bold 2 bold right parenthesis end style

A.
B.
C.
D.



  The solution of  begin mathsize 20px style square root of bold x to the power of bold 2 bold minus bold 6 bold x bold plus bold 9 end root bold equals bold 0 end style is

A.
B.
C.
D.
Simplify begin mathsize 20px style fraction numerator bold a to the power of begin display style bold 3 over bold 5 end style end exponent bold. bold b to the power of begin display style bold 1 over bold 2 end style end exponent over denominator bold a to the power of begin display style bold 1 over bold 2 end style end exponent bold. bold b to the power of begin display style bold 3 over bold 5 end style end exponent end fraction end style

Simplify   begin mathsize 20px style fraction numerator bold a to the power of begin display style bold 3 over bold 5 end style end exponent bold. bold b to the power of begin display style bold 1 over bold 2 end style end exponent over denominator bold a to the power of begin display style bold 1 over bold 2 end style end exponent bold. bold b to the power of begin display style bold 3 over bold 5 end style end exponent end fraction end style

A.
B.
C.
D.
The simplification of begin mathsize 20px style bold 3 square root of bold 50 bold plus bold 2 square root of bold 72 end styleis begin mathsize 20px style square root of bold 2 end style

The simplification of begin mathsize 20px style bold 3 square root of bold 50 bold plus bold 2 square root of bold 72 end styleis begin mathsize 20px style square root of bold 2 end style

Subtract and simplify: begin mathsize 20px style bold 8 square root of bold 5 bold italic x end root bold minus bold 3 square root of bold 20 bold italic x end root end style

Subtract and simplify: begin mathsize 20px style bold 8 square root of bold 5 bold italic x end root bold minus bold 3 square root of bold 20 bold italic x end root end style

A.
B.
C.
D.
begin mathsize 20px style bold left parenthesis square root of bold italic y bold plus bold 1 bold right parenthesis bold left parenthesis square root of bold italic y bold minus bold 1 bold right parenthesis bold equals bold italic y bold plus bold 1 end style

 begin mathsize 20px style bold left parenthesis square root of bold italic y bold plus bold 1 bold right parenthesis bold left parenthesis square root of bold italic y bold minus bold 1 bold right parenthesis bold equals bold italic y bold plus bold 1 end style 

The value of the function begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold 1 bold minus bold italic x end root end style when begin mathsize 20px style bold italic f bold left parenthesis bold minus bold 1 bold right parenthesis end style is:

The value of the function begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold 1 bold minus bold italic x end root end style when begin mathsize 20px style bold italic f bold left parenthesis bold minus bold 1 bold right parenthesis end style is:

A.
B.
C.
D.
begin mathsize 24px style bold 7 end style is a solution of the inequality begin mathsize 20px style bold 2 bold italic x bold plus bold 3 bold less or equal than bold 36 end style

begin mathsize 24px style bold 7 end style is a solution of the inequality begin mathsize 20px style bold 2 bold italic x bold plus bold 3 bold less or equal than bold 36 end style

The interval notation for the set bold left curly bracket bold italic x bold colon bold italic x bold greater or equal than bold minus bold 3 bold right curly bracket is: The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold italic x bold greater or equal than bold minus bold 3 bold right curly bracket end style is:

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold italic x bold greater or equal than bold minus bold 3 bold right curly bracket end style is:

A.
B.
C.
D.

The following graph represents the graph of the solutions of the system ................



A.
B.
C.
D.
Add and simplify: begin mathsize 20px style bold 3 square root of bold 5 bold italic x end root bold plus bold 8 square root of bold 20 bold italic x end root end style

Add and simplify: begin mathsize 20px style bold 3 square root of bold 5 bold italic x end root bold plus bold 8 square root of bold 20 bold italic x end root end style

A.
B.
C.
D.
Simplify Error converting from MathML to accessible text

Simplify   Error converting from MathML to accessible text

A.
B.
C.
D.
The distance between begin mathsize 20px style bold 14 bold space bold and bold space bold minus bold 2 end style is begin mathsize 20px style bold 16 end style.

The distance between begin mathsize 20px style bold 14 bold space bold and bold space bold minus bold 2 end style is begin mathsize 20px style bold 16 end style.

For any nonnegative real numbers begin mathsize 20px style bold italic x end style and begin mathsize 20px style bold italic y end style and any index begin mathsize 20px style bold italic k end style, begin mathsize 20px style bold italic k-th root of bold italic x bold times bold italic k-th root of bold italic y bold equals bold italic k-th root of bold italic x bold italic y end root end style

For any nonnegative real numbers begin mathsize 20px style bold italic x end style and begin mathsize 20px style bold italic y end style and any index begin mathsize 20px style bold italic k end stylebegin mathsize 20px style bold italic k-th root of bold italic x bold times bold italic k-th root of bold italic y bold equals bold italic k-th root of bold italic x bold italic y end root end style


begin mathsize 20px style bold left parenthesis root index bold 5 of bold italic y bold plus bold 1 bold right parenthesis bold left parenthesis root index bold 5 of bold italic y bold minus bold 2 bold right parenthesis bold equals root index bold 5 of bold italic y to the power of bold 2 end root bold plus root index bold 5 of bold italic y bold plus bold 2 end style

 begin mathsize 20px style bold left parenthesis root index bold 5 of bold italic y bold plus bold 1 bold right parenthesis bold left parenthesis root index bold 5 of bold italic y bold minus bold 2 bold right parenthesis bold equals root index bold 5 of bold italic y to the power of bold 2 end root bold plus root index bold 5 of bold italic y bold plus bold 2 end style 

The solution set of the equation begin mathsize 20px style root index bold 5 of bold 2 bold italic x bold plus bold 3 end root bold minus bold 1 bold equals bold 2 end style is:

The solution set of the equation  begin mathsize 20px style root index bold 5 of bold 2 bold italic x bold plus bold 3 end root bold minus bold 1 bold equals bold 2 end style is:

A.
B.
C.
D.
The solution set of the equation begin mathsize 20px style bold vertical line bold 3 bold italic x bold plus bold 3 bold vertical line bold equals bold 6 end style is:

The solution set of the equation begin mathsize 20px style bold vertical line bold 3 bold italic x bold plus bold 3 bold vertical line bold equals bold 6 end style is:

A.
B.
C.
D.
One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold italic x bold plus bold italic y bold less or equal than bold 5 end cell row cell bold 2 bold italic x bold minus bold italic y bold less than bold 8 end cell end table close end style:

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold italic x bold plus bold italic y bold less or equal than bold 5 end cell row cell bold 2 bold italic x bold minus bold italic y bold less than bold 8 end cell end table close end style:

A.
B.
C.
D.

The following graph represents the graph of the solutions of the system ................


A.
B.
C.
D.
begin mathsize 20px style bold left parenthesis bold minus bold infinity bold comma bold 1 bold right square bracket bold intersection bold left square bracket bold minus bold 4 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold minus bold 4 bold comma bold 1 bold right square bracket end style

begin mathsize 20px style bold left parenthesis bold minus bold infinity bold comma bold 1 bold right square bracket bold intersection bold left square bracket bold minus bold 4 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold minus bold 4 bold comma bold 1 bold right square bracket end style

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begin mathsize 20px style bold vertical line bold italic x bold italic y bold vertical line bold equals bold vertical line bold italic x bold vertical line bold times bold vertical line bold italic y bold vertical line end style, for any real numbers begin mathsize 20px style bold italic x bold space bold and bold space bold italic y end style.

begin mathsize 20px style bold vertical line bold italic x bold italic y bold vertical line bold equals bold vertical line bold italic x bold vertical line bold times bold vertical line bold italic y bold vertical line end style, for any real numbers begin mathsize 20px style bold italic x bold space bold and bold space bold italic y end style.

Simplify begin mathsize 20px style begin bold style left parenthesis square root of x plus 2 right parenthesis end style begin bold style left parenthesis square root of x minus 2 right parenthesis end style end style

Simplify begin mathsize 20px style begin bold style left parenthesis square root of x plus 2 right parenthesis end style begin bold style left parenthesis square root of x minus 2 right parenthesis end style end style

A.
B.
C.
D.
The value of the function begin mathsize 20px style bold italic h bold left parenthesis bold italic x bold right parenthesis bold equals root index bold 3 of bold italic x to the power of bold 2 bold minus bold 8 end root end style when begin mathsize 20px style bold italic h bold left parenthesis bold 0 bold right parenthesis end style is:

The value of the function begin mathsize 20px style bold italic h bold left parenthesis bold italic x bold right parenthesis bold equals root index bold 3 of bold italic x to the power of bold 2 bold minus bold 8 end root end style when begin mathsize 20px style bold italic h bold left parenthesis bold 0 bold right parenthesis end style is:

A.
B.
C.
D.
The solution of begin mathsize 20px style bold vertical line bold italic x bold plus bold 3 bold vertical line bold greater or equal than bold 2 end style is:

The solution of begin mathsize 20px style bold vertical line bold italic x bold plus bold 3 bold vertical line bold greater or equal than bold 2 end style is:

A.
B.
C.
D.
The solution set of the equation begin mathsize 20px style bold vertical line bold 3 bold italic x bold minus bold 6 bold vertical line bold equals bold vertical line bold 3 bold italic x bold minus bold 12 bold vertical line end style is:

The solution set of the equation begin mathsize 20px style bold vertical line bold 3 bold italic x bold minus bold 6 bold vertical line bold equals bold vertical line bold 3 bold italic x bold minus bold 12 bold vertical line end style is:

A.
B.
C.
D.
The simplification of begin mathsize 20px style square root of fraction numerator bold 49 over denominator bold 9 bold italic x to the power of bold 4 end fraction end root end styleis begin mathsize 20px style fraction numerator bold 7 over denominator bold 3 bold italic x to the power of bold 2 end fraction end style

The simplification of begin mathsize 20px style square root of fraction numerator bold 49 over denominator bold 9 bold italic x to the power of bold 4 end fraction end root end styleis begin mathsize 20px style fraction numerator bold 7 over denominator bold 3 bold italic x to the power of bold 2 end fraction end style

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold 5 bold greater or equal than bold italic x bold greater than bold minus bold 6 bold right curly bracket end style is:

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold 5 bold greater or equal than bold italic x bold greater than bold minus bold 6 bold right curly bracket end style is:

A.
B.
C.
D.
Simplify begin mathsize 20px style fraction numerator bold a to the power of begin display style bold 3 over bold 5 end style end exponent bold. bold b to the power of begin display style bold 1 over bold 2 end style end exponent over denominator bold a to the power of begin display style bold 1 over bold 2 end style end exponent bold. bold b to the power of begin display style bold 3 over bold 5 end style end exponent end fraction end style

Simplify   begin mathsize 20px style fraction numerator bold a to the power of begin display style bold 3 over bold 5 end style end exponent bold. bold b to the power of begin display style bold 1 over bold 2 end style end exponent over denominator bold a to the power of begin display style bold 1 over bold 2 end style end exponent bold. bold b to the power of begin display style bold 3 over bold 5 end style end exponent end fraction end style

A.
B.
C.
D.
The solution of begin mathsize 20px style square root of bold x to the power of bold 2 bold minus bold 6 bold x bold plus bold 9 end root bold equals bold 0 end style is



  The solution of  begin mathsize 20px style square root of bold x to the power of bold 2 bold minus bold 6 bold x bold plus bold 9 end root bold equals bold 0 end style is

A.
B.
C.
D.
The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold italic x bold less or equal than bold minus bold 7 bold space bold italic o bold italic r bold space bold italic x bold greater or equal than bold 3 bold right curly bracket end style is:

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold italic x bold less or equal than bold minus bold 7 bold space bold italic o bold italic r bold space bold italic x bold greater or equal than bold 3 bold right curly bracket end style is:

A.
B.
C.
D.

The following graph represents the graph of the solutions of the system ................

 
 
  

A.
B.
C.
D.
begin mathsize 20px style bold 12 end style is a solution of the inequality begin mathsize 20px style bold 2 bold italic x bold plus bold 3 bold less or equal than bold 36 end style

begin mathsize 20px style bold 12 end style is a solution of the inequality begin mathsize 20px style bold 2 bold italic x bold plus bold 3 bold less or equal than bold 36 end style

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold 3 bold italic x bold plus bold 2 bold italic y bold less than bold 9 end cell row cell bold 4 bold italic x bold minus bold italic y bold less than bold 6 end cell end table close end style:

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold 3 bold italic x bold plus bold 2 bold italic y bold less than bold 9 end cell row cell bold 4 bold italic x bold minus bold italic y bold less than bold 6 end cell end table close end style:

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B.
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D.
For any nonnegative real numbers begin mathsize 20px style bold italic x end style and begin mathsize 20px style bold italic y end style and any index begin mathsize 20px style bold italic k end style, begin mathsize 20px style bold italic k-th root of bold italic x bold minus bold italic k-th root of bold italic y bold equals bold italic k-th root of bold italic x bold minus bold italic y end root end style

For any nonnegative real numbers begin mathsize 20px style bold italic x end style and begin mathsize 20px style bold italic y end style and any index begin mathsize 20px style bold italic k end stylebegin mathsize 20px style bold italic k-th root of bold italic x bold minus bold italic k-th root of bold italic y bold equals bold italic k-th root of bold italic x bold minus bold italic y end root end style


The interval begin mathsize 20px style bold left parenthesis bold italic d bold comma bold space bold italic c bold right parenthesis end style is defined as the set of all numbers begin mathsize 20px style bold italic x end style for which begin mathsize 20px style bold italic c bold less than bold italic x bold less or equal than bold italic d end style

The interval begin mathsize 20px style bold left parenthesis bold italic d bold comma bold space bold italic c bold right parenthesis end style is defined as the set of all numbers begin mathsize 20px style bold italic x end style for which begin mathsize 20px style bold italic c bold less than bold italic x bold less or equal than bold italic d end style

Solve: begin mathsize 20px style bold 3 bold italic x bold minus bold 3 bold less than bold minus bold 9 bold space bold italic o bold italic r bold space bold 3 bold italic x bold minus bold 3 bold less than bold 6 end style

Solve: begin mathsize 20px style bold 3 bold italic x bold minus bold 3 bold less than bold minus bold 9 bold space bold italic o bold italic r bold space bold 3 bold italic x bold minus bold 3 bold less than bold 6 end style

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The value of the function begin mathsize 20px style bold italic g bold left parenthesis bold italic x bold right parenthesis bold equals root index bold 3 of bold italic x to the power of bold 2 bold minus bold 4 end root end style when begin mathsize 20px style bold italic g bold left parenthesis bold minus bold 2 bold right parenthesis end style is:

The value of the function begin mathsize 20px style bold italic g bold left parenthesis bold italic x bold right parenthesis bold equals root index bold 3 of bold italic x to the power of bold 2 bold minus bold 4 end root end style when begin mathsize 20px style bold italic g bold left parenthesis bold minus bold 2 bold right parenthesis end style is:

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B.
C.
D.
The solution of bold vertical line bold 2 bold italic x bold plus bold 7 bold vertical line bold less than bold 5 is: The solution of begin mathsize 20px style bold vertical line bold 2 bold italic x bold plus bold 7 bold vertical line bold less than bold 5 end style is:

The solution of begin mathsize 20px style bold vertical line bold 2 bold italic x bold plus bold 7 bold vertical line bold less than bold 5 end style is:

A.
B.
C.
D.
The solution set of begin mathsize 20px style bold vertical line bold 7 bold italic x bold vertical line bold equals bold vertical line bold 4 bold italic x bold minus bold 6 bold vertical line end style is

The solution set of begin mathsize 20px style bold vertical line bold 7 bold italic x bold vertical line bold equals bold vertical line bold 4 bold italic x bold minus bold 6 bold vertical line end style is

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B.
C.
D.
The solution of begin mathsize 20px style square root of bold x to the power of bold 2 bold plus bold 6 bold x bold plus bold 9 end root bold equals bold 0 end style is


  The solution of  begin mathsize 20px style square root of bold x to the power of bold 2 bold plus bold 6 bold x bold plus bold 9 end root bold equals bold 0 end style is

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B.
C.
D.
The solution set of begin mathsize 20px style bold 5 bold italic x bold greater or equal than bold 15 end styleandbegin mathsize 20px style bold 5 bold italic x bold minus bold 1 bold less or equal than bold 9 end style is

The solution set of begin mathsize 20px style bold 5 bold italic x bold greater or equal than bold 15 end styleandbegin mathsize 20px style bold 5 bold italic x bold minus bold 1 bold less or equal than bold 9 end style is 

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B.
C.
D.
For any nonnegative real number begin mathsize 20px style bold italic x end style, any positive real number begin mathsize 20px style bold italic y end style, and any index begin mathsize 20px style bold italic k end style, begin mathsize 20px style fraction numerator bold italic k-th root of bold italic x over denominator bold italic k-th root of bold italic y end fraction bold equals bold italic k-th root of bold italic x over bold italic y end root end style

For any nonnegative real number begin mathsize 20px style bold italic x end style, any positive real number begin mathsize 20px style bold italic y end style, and any index begin mathsize 20px style bold italic k end style, begin mathsize 20px style fraction numerator bold italic k-th root of bold italic x over denominator bold italic k-th root of bold italic y end fraction bold equals bold italic k-th root of bold italic x over bold italic y end root end style

begin mathsize 20px style bold left square bracket bold minus bold 6 bold comma bold infinity bold right parenthesis bold intersection bold left square bracket bold 7 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold minus bold 6 bold comma bold infinity bold right parenthesis end style

begin mathsize 20px style bold left square bracket bold minus bold 6 bold comma bold infinity bold right parenthesis bold intersection bold left square bracket bold 7 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold minus bold 6 bold comma bold infinity bold right parenthesis end style

Divide and simplify: begin mathsize 20px style fraction numerator root index bold 5 of bold 52 bold italic a bold italic b to the power of bold 9 end root over denominator root index bold 5 of bold 13 bold italic a end root end fraction end style

Divide and simplify: begin mathsize 20px style fraction numerator root index bold 5 of bold 52 bold italic a bold italic b to the power of bold 9 end root over denominator root index bold 5 of bold 13 bold italic a end root end fraction end style

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The distance between bold minus bold 2 bold space bold and bold space bold 15 is bold 17.

The distance between begin mathsize 20px style bold minus bold 2 bold space bold and bold space bold 15 end style is begin mathsize 20px style bold 17 end style.

Let begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold x to the power of bold 2 bold plus bold 1 end root end style then begin mathsize 20px style bold italic f bold left parenthesis bold 1 bold right parenthesis equals end style

Let begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold x to the power of bold 2 bold plus bold 1 end root end style then begin mathsize 20px style bold italic f bold left parenthesis bold 1 bold right parenthesis equals end style

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B.
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D.
begin mathsize 20px style bold vertical line bold minus bold italic x bold vertical line bold equals bold minus bold vertical line bold italic x bold vertical line end style, for any real number begin mathsize 20px style bold italic x end style.

begin mathsize 20px style bold vertical line bold minus bold italic x bold vertical line bold equals bold minus bold vertical line bold italic x bold vertical line end style, for any real number begin mathsize 20px style bold italic x end style.

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold 2 bold italic x bold minus bold italic y bold less than bold 3 end cell row cell bold 3 bold italic x bold minus bold italic y bold less than bold 2 end cell end table close end style:

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold 2 bold italic x bold minus bold italic y bold less than bold 3 end cell row cell bold 3 bold italic x bold minus bold italic y bold less than bold 2 end cell end table close end style:

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B.
C.
D.

The following graph represents the graph of the function..............


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Add and simplify: begin mathsize 20px style bold 5 square root of bold 2 bold italic x end root bold plus bold 3 square root of bold 8 bold italic x end root end style

Add and simplify: begin mathsize 20px style bold 5 square root of bold 2 bold italic x end root bold plus bold 3 square root of bold 8 bold italic x end root end style

A.
B.
C.
D.
The distance between bold minus bold 20 bold space bold and bold space bold minus bold 1 is bold minus bold 19. The distance between begin mathsize 20px style bold minus bold 20 bold space bold and bold space bold minus bold 1 end style is begin mathsize 20px style bold minus bold 19 end style.

The distance between begin mathsize 20px style bold minus bold 20 bold space bold and bold space bold minus bold 1 end style is begin mathsize 20px style bold minus bold 19 end style.

begin mathsize 20px style bold left parenthesis root index bold 5 of bold italic x bold plus bold 1 bold right parenthesis bold left parenthesis root index bold 5 of bold italic x bold minus bold 2 bold right parenthesis bold equals root index bold 5 of bold italic x to the power of bold 2 end root bold minus root index bold 5 of bold italic x bold minus bold 2 end style

 begin mathsize 20px style bold left parenthesis root index bold 5 of bold italic x bold plus bold 1 bold right parenthesis bold left parenthesis root index bold 5 of bold italic x bold minus bold 2 bold right parenthesis bold equals root index bold 5 of bold italic x to the power of bold 2 end root bold minus root index bold 5 of bold italic x bold minus bold 2 end style 

The following graph represents the graph of the function..............



 

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D.

The following graph represents the graph of the solutions of the system ................

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D.
The solution set of the equation begin mathsize 20px style bold vertical line bold 3 bold italic x bold minus bold 4 bold vertical line bold equals bold vertical line bold minus bold 2 bold italic x bold plus bold 11 bold vertical line end style is:

The solution set of the equation begin mathsize 20px style bold vertical line bold 3 bold italic x bold minus bold 4 bold vertical line bold equals bold vertical line bold minus bold 2 bold italic x bold plus bold 11 bold vertical line end style is:

A.
B.
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D.
bold left parenthesis bold minus bold infinity bold comma bold 1 bold right square bracket bold union bold left square bracket bold minus bold 4 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold minus bold 4 bold comma bold 1 bold right square bracket begin mathsize 20px style bold left parenthesis bold minus bold infinity bold comma bold 1 bold right square bracket bold union bold left square bracket bold minus bold 4 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold minus bold 4 bold comma bold 1 bold right square bracket end style

begin mathsize 20px style bold left parenthesis bold minus bold infinity bold comma bold 1 bold right square bracket bold union bold left square bracket bold minus bold 4 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold minus bold 4 bold comma bold 1 bold right square bracket end style

The solution of begin mathsize 20px style bold 2 square root of bold x bold minus bold 1 bold equals bold italic x end style is


  The solution of  begin mathsize 20px style bold 2 square root of bold x bold minus bold 1 bold equals bold italic x end style is

A.
B.
C.
D.
The simplification of begin mathsize 20px style bold 3 square root of bold 50 bold minus bold 2 square root of bold 72 end styleis begin mathsize 20px style bold 3 square root of bold 2 end style


The simplification of begin mathsize 20px style bold 3 square root of bold 50 bold minus bold 2 square root of bold 72 end styleis begin mathsize 20px style bold 3 square root of bold 2 end style

bold 7 is a solution of the inequality bold 2 bold italic x bold plus bold 3 bold greater or equal than bold 36 begin mathsize 20px style bold 7 end style is a solution of the inequality begin mathsize 20px style bold 2 bold italic x bold plus bold 3 bold greater or equal than bold 36 end style

begin mathsize 20px style bold 7 end style is a solution of the inequality begin mathsize 20px style bold 2 bold italic x bold plus bold 3 bold greater or equal than bold 36 end style

If begin mathsize 20px style bold italic x end style is negative, then begin mathsize 20px style bold vertical line bold italic x bold vertical line bold equals bold minus bold italic x end style.

If begin mathsize 20px style bold italic x end style is negative, then begin mathsize 20px style bold vertical line bold italic x bold vertical line bold equals bold minus bold italic x end style.

ملاحظة الاجابة الصحيحة هي خطأ لكن في النظام مسجلة صح

The solution of begin mathsize 20px style root index bold 3 of bold 2 bold italic x bold minus bold 7 end root bold minus bold 3 bold equals bold 0 end style is 10

The solution of begin mathsize 20px style root index bold 3 of bold 2 bold italic x bold minus bold 7 end root bold minus bold 3 bold equals bold 0 end style is 10

begin mathsize 20px style bold 12 end style is a solution of the inequality begin mathsize 20px style bold 2 bold italic x bold plus bold 3 bold greater or equal than bold 36 end style

begin mathsize 20px style bold 12 end style is a solution of the inequality begin mathsize 20px style bold 2 bold italic x bold plus bold 3 bold greater or equal than bold 36 end style

The solution set of begin mathsize 20px style bold minus bold 5 bold italic x bold greater or equal than bold minus bold 15 end styleand begin mathsize 20px style bold 1 bold minus bold 5 bold italic x bold less or equal than bold minus bold 9 end style is

The solution set of begin mathsize 20px style bold minus bold 5 bold italic x bold greater or equal than bold minus bold 15 end styleand begin mathsize 20px style bold 1 bold minus bold 5 bold italic x bold less or equal than bold minus bold 9 end style is 

A.
B.
C.
D.
The solution of begin mathsize 20px style bold italic x bold minus square root of bold x bold equals bold 0 end style is


The solution of  begin mathsize 20px style bold italic x bold minus square root of bold x bold equals bold 0 end style is

A.
B.
C.
D.
The solution set of bold vertical line bold 2 bold minus bold 4 bold italic x bold vertical line bold equals bold 10 is The solution set of begin mathsize 20px style bold vertical line bold 2 bold minus bold 4 bold italic x bold vertical line bold equals bold 10 end style is

The solution set of begin mathsize 20px style bold vertical line bold 2 bold minus bold 4 bold italic x bold vertical line bold equals bold 10 end style is

A.
B.
C.
D.
The solution of begin mathsize 20px style bold vertical line bold italic x bold vertical line less or equal than bold 7 end style is begin mathsize 20px style bold left parenthesis bold minus bold 7 bold comma bold 7 bold right parenthesis end style.

The solution of begin mathsize 20px style bold vertical line bold italic x bold vertical line less or equal than bold 7 end style is begin mathsize 20px style bold left parenthesis bold minus bold 7 bold comma bold 7 bold right parenthesis end style.

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold 4 bold italic x bold plus bold 2 bold italic y bold less than bold 5 end cell row cell bold italic x bold minus bold italic y bold less than bold 2 end cell end table close end style:

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold 4 bold italic x bold plus bold 2 bold italic y bold less than bold 5 end cell row cell bold italic x bold minus bold italic y bold less than bold 2 end cell end table close end style:

A.
B.
C.
D.
The solution of begin mathsize 20px style bold vertical line bold 2 bold italic x bold plus bold 7 bold vertical line bold greater or equal than bold 5 end style is:

The solution of begin mathsize 20px style bold vertical line bold 2 bold italic x bold plus bold 7 bold vertical line bold greater or equal than bold 5 end style is:

A.
B.
C.
D.
Simplify begin mathsize 20px style fraction numerator bold a to the power of begin display style 3 over bold 4 end style end exponent bold. bold b to the power of begin display style bold 1 over bold 2 end style end exponent over denominator bold a to the power of begin display style bold 1 over bold 2 end style end exponent bold. bold b to the power of begin display style bold 3 over 4 end style end exponent end fraction end style


Simplify   begin mathsize 20px style fraction numerator bold a to the power of begin display style 3 over bold 4 end style end exponent bold. bold b to the power of begin display style bold 1 over bold 2 end style end exponent over denominator bold a to the power of begin display style bold 1 over bold 2 end style end exponent bold. bold b to the power of begin display style bold 3 over 4 end style end exponent end fraction end style

A.
B.
C.
D.
The solution set of the equation begin mathsize 20px style bold vertical line bold 2 bold italic x bold minus bold 4 bold vertical line bold equals bold vertical line bold 2 bold italic x bold plus bold 8 bold vertical line end style is: The solution set of the equation bold vertical line bold 2 bold italic x bold minus bold 4 bold vertical line bold equals bold vertical line bold 2 bold italic x bold plus bold 8 bold vertical line is:

The solution set of the equation begin mathsize 20px style bold vertical line bold 2 bold italic x bold minus bold 4 bold vertical line bold equals bold vertical line bold 2 bold italic x bold plus bold 8 bold vertical line end style is:

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B.
C.
D.
The solution of begin mathsize 20px style square root of bold 2 bold italic x bold plus bold 1 end root bold minus bold 2 bold equals bold 3 end style is 12

The solution of begin mathsize 20px style square root of bold 2 bold italic x bold plus bold 1 end root bold minus bold 2 bold equals bold 3 end style is 12

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold minus bold 1 bold less or equal than bold italic x bold less than bold 3 bold right curly bracket end style is: The interval notation for the set bold left curly bracket bold italic x bold colon bold minus bold 1 bold less or equal than bold italic x bold less than bold 3 bold right curly bracket is:

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold minus bold 1 bold less or equal than bold italic x bold less than bold 3 bold right curly bracket end style is:

A.
B.
C.
D.
begin mathsize 20px style bold left square bracket bold minus bold 6 bold comma bold infinity bold right parenthesis bold union bold left square bracket bold 7 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold 7 bold comma bold infinity bold right parenthesis end style

begin mathsize 20px style bold left square bracket bold minus bold 6 bold comma bold infinity bold right parenthesis bold union bold left square bracket bold 7 bold comma bold infinity bold right parenthesis bold equals bold left square bracket bold 7 bold comma bold infinity bold right parenthesis end style

The solution set of the equation begin mathsize 20px style bold vertical line bold 2 bold italic x bold minus bold 4 bold vertical line bold equals bold 2 end style is:

The solution set of the equation begin mathsize 20px style bold vertical line bold 2 bold italic x bold minus bold 4 bold vertical line bold equals bold 2 end style is:

A.
B.
C.
D.
The solution set of the equation begin mathsize 20px style root index bold 5 of bold 2 bold italic x bold plus bold 3 end root bold minus bold 1 bold equals bold 2 end style is:

The solution set of the equation  begin mathsize 20px style root index bold 5 of bold 2 bold italic x bold plus bold 3 end root bold minus bold 1 bold equals bold 2 end style is:

A.
B.
C.
D.
The simplification of begin mathsize 20px style bold 3 square root of bold 50 bold minus bold 2 square root of bold 72 end styleis begin mathsize 20px style square root of bold 2 end style



The simplification of begin mathsize 20px style bold 3 square root of bold 50 bold minus bold 2 square root of bold 72 end styleis begin mathsize 20px style square root of bold 2 end style

The solution of begin mathsize 20px style bold vertical line bold italic y bold vertical line bold greater or equal than bold 5 end style is begin mathsize 20px style bold left square bracket bold minus bold 5 bold comma bold 5 bold right square bracket end style.

The solution of begin mathsize 20px style bold vertical line bold italic y bold vertical line bold greater or equal than bold 5 end style is begin mathsize 20px style bold left square bracket bold minus bold 5 bold comma bold 5 bold right square bracket end style.

The solution of begin mathsize 20px style bold vertical line bold italic x bold plus bold 3 bold vertical line greater than bold 2 end style is:

The solution of begin mathsize 20px style bold vertical line bold italic x bold plus bold 3 bold vertical line greater than bold 2 end style is:

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B.
C.
D.
Solve: begin mathsize 20px style bold minus bold 3 bold italic x bold minus bold 3 bold less than bold minus bold 9 bold space bold italic a bold italic n bold italic d bold space bold minus bold 3 bold italic x bold minus bold 3 bold less than bold 6 end style

Solve: begin mathsize 20px style bold minus bold 3 bold italic x bold minus bold 3 bold less than bold minus bold 9 bold space bold italic a bold italic n bold italic d bold space bold minus bold 3 bold italic x bold minus bold 3 bold less than bold 6 end style

A.
B.
C.
D.
Simplify begin mathsize 20px style bold left parenthesis square root of bold y bold plus square root of bold x bold right parenthesis bold left parenthesis square root of bold y bold minus square root of bold x bold right parenthesis end style

Simplify begin mathsize 20px style bold left parenthesis square root of bold y bold plus square root of bold x bold right parenthesis bold left parenthesis square root of bold y bold minus square root of bold x bold right parenthesis end style

A.
B.
C.
D.
The solution of begin mathsize 20px style bold 2 square root of bold x bold minus bold 1 bold equals bold italic x end style is


  The solution of  begin mathsize 20px style bold 2 square root of bold x bold minus bold 1 bold equals bold italic x end style is

A.
B.
C.
D.
One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold italic x bold minus bold italic y bold greater than bold 0 end cell row cell bold italic x bold plus bold italic y bold greater than bold 3 end cell end table close end style:

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold italic x bold minus bold italic y bold greater than bold 0 end cell row cell bold italic x bold plus bold italic y bold greater than bold 3 end cell end table close end style:

A.
B.
C.
D.
begin mathsize 20px style bold left parenthesis square root of bold italic x bold plus square root of bold italic y bold right parenthesis to the power of bold 2 bold equals bold italic x bold plus bold 2 square root of bold italic x bold italic y end root bold plus bold italic y end style

 begin mathsize 20px style bold left parenthesis square root of bold italic x bold plus square root of bold italic y bold right parenthesis to the power of bold 2 bold equals bold italic x bold plus bold 2 square root of bold italic x bold italic y end root bold plus bold italic y end style 

The interval notation for the set bold left curly bracket bold italic x bold colon bold 4 bold greater or equal than bold italic x bold greater than bold minus bold 8 bold right curly bracket is: The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold 4 bold greater or equal than bold italic x bold greater than bold minus bold 8 bold right curly bracket end style is:

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold 4 bold greater or equal than bold italic x bold greater than bold minus bold 8 bold right curly bracket end style is:

A.
B.
C.
D.
The solution of begin mathsize 20px style bold vertical line bold italic x bold plus bold 3 bold vertical line less or equal than bold 2 end style is:

  The solution of begin mathsize 20px style bold vertical line bold italic x bold plus bold 3 bold vertical line less or equal than bold 2 end style is:

A.
B.
C.
D.
The solution of begin mathsize 20px style bold vertical line bold italic x bold vertical line bold less than bold 1 end style is begin mathsize 20px style bold left parenthesis bold minus bold 1 bold comma bold 1 bold right parenthesis end style.

The solution of begin mathsize 20px style bold vertical line bold italic x bold vertical line bold less than bold 1 end style is begin mathsize 20px style bold left parenthesis bold minus bold 1 bold comma bold 1 bold right parenthesis end style.

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold italic y bold greater than bold 0 end cell row cell bold italic x bold plus bold italic y bold less than bold 4 end cell end table close end style:

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold italic y bold greater than bold 0 end cell row cell bold italic x bold plus bold italic y bold less than bold 4 end cell end table close end style:

A.
B.
C.
D.
Let begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold 2 bold plus bold x to the power of bold 2 end root end style then begin mathsize 20px style bold italic f bold left parenthesis bold 2 bold right parenthesis equals end style

Let begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold 2 bold plus bold x to the power of bold 2 end root end style then begin mathsize 20px style bold italic f bold left parenthesis bold 2 bold right parenthesis equals end style

A.
B.
C.
D.
bold vertical line bold italic x bold plus bold italic y bold vertical line bold equals bold vertical line bold italic x bold vertical line bold plus bold vertical line bold italic y bold vertical line, for any real numbers bold italic x bold space bold and bold space bold italic y. begin mathsize 20px style bold vertical line bold italic x bold plus bold italic y bold vertical line bold equals bold vertical line bold italic x bold vertical line bold plus bold vertical line bold italic y bold vertical line end style, for any real numbers begin mathsize 20px style bold italic x bold space bold and bold space bold italic y end style.

begin mathsize 20px style bold vertical line bold italic x bold plus bold italic y bold vertical line bold equals bold vertical line bold italic x bold vertical line bold plus bold vertical line bold italic y bold vertical line end style, for any real numbers begin mathsize 20px style bold italic x bold space bold and bold space bold italic y end style.

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold italic x bold less than bold 4 bold right curly bracket end style is:

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold italic x bold less than bold 4 bold right curly bracket end style is:

A.
B.
C.
D.
The solution of begin mathsize 20px style bold vertical line bold 2 bold italic x bold plus bold 7 bold vertical line less or equal than bold 5 end style is:

The solution of begin mathsize 20px style bold vertical line bold 2 bold italic x bold plus bold 7 bold vertical line less or equal than bold 5 end style is:

A.
B.
C.
D.
The value of the function begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold 2 bold italic x bold plus bold 12 end root end style when begin mathsize 20px style bold italic f bold left parenthesis bold 2 bold right parenthesis end style is:

The value of the function begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold 2 bold italic x bold plus bold 12 end root end style when begin mathsize 20px style bold italic f bold left parenthesis bold 2 bold right parenthesis end style is:

A.
B.
C.
D.
Multiply and simplify: begin mathsize 20px style root index bold 3 of bold italic m to the power of bold 2 bold italic n to the power of bold 4 end root bold times root index bold 3 of bold italic m to the power of bold 4 bold italic n to the power of bold 6 end root end style

Multiply and simplify: begin mathsize 20px style root index bold 3 of bold italic m to the power of bold 2 bold italic n to the power of bold 4 end root bold times root index bold 3 of bold italic m to the power of bold 4 bold italic n to the power of bold 6 end root end style

A.
B.
C.
D.
The simplification of begin mathsize 20px style root index bold 9 of bold italic x to the power of bold 3 bold italic y to the power of bold 6 end root end styleis begin mathsize 20px style root index bold 3 of bold italic x bold italic y to the power of bold 2 end root end style

The simplification of begin mathsize 20px style root index bold 9 of bold italic x to the power of bold 3 bold italic y to the power of bold 6 end root end styleis begin mathsize 20px style root index bold 3 of bold italic x bold italic y to the power of bold 2 end root end style

begin mathsize 20px style bold left parenthesis bold minus bold infinity bold comma bold minus bold 3 bold right square bracket bold intersection bold left square bracket bold 5 bold comma bold infinity bold right parenthesis bold equals bold empty set end style

begin mathsize 20px style bold left parenthesis bold minus bold infinity bold comma bold minus bold 3 bold right square bracket bold intersection bold left square bracket bold 5 bold comma bold infinity bold right parenthesis bold equals bold empty set end style

Simplify begin mathsize 20px style fraction numerator bold a to the power of begin display style 3 over bold 4 end style end exponent bold. bold b to the power of begin display style bold 1 over bold 2 end style end exponent over denominator bold a to the power of begin display style bold 1 over bold 2 end style end exponent bold. bold b to the power of begin display style bold 3 over 4 end style end exponent end fraction end style



Simplify   begin mathsize 20px style fraction numerator bold a to the power of begin display style 3 over bold 4 end style end exponent bold. bold b to the power of begin display style bold 1 over bold 2 end style end exponent over denominator bold a to the power of begin display style bold 1 over bold 2 end style end exponent bold. bold b to the power of begin display style bold 3 over 4 end style end exponent end fraction end style

A.
B.
C.
D.
bold 3 is a solution of the inequality bold 12 bold italic x bold greater or equal than bold 36 begin mathsize 20px style bold 3 end style is a solution of the inequality begin mathsize 20px style bold 12 bold italic x bold greater or equal than bold 36 end style

begin mathsize 20px style bold 3 end style is a solution of the inequality begin mathsize 20px style bold 12 bold italic x bold greater or equal than bold 36 end style

The solution set of the equation begin mathsize 20px style bold vertical line bold 2 bold italic x bold minus bold 4 bold vertical line bold equals bold minus bold 2 end style is:

The solution set of the equation begin mathsize 20px style bold vertical line bold 2 bold italic x bold minus bold 4 bold vertical line bold equals bold minus bold 2 end style is:

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For any nonnegative real numbers begin mathsize 20px style bold italic x end style and begin mathsize 20px style bold italic y end style and any index begin mathsize 20px style bold italic k end style, begin mathsize 20px style bold italic k-th root of bold italic x bold plus bold italic k-th root of bold italic y bold equals bold italic k-th root of bold italic x bold plus bold italic y end root end style

For any nonnegative real numbers begin mathsize 20px style bold italic x end style and begin mathsize 20px style bold italic y end style and any index begin mathsize 20px style bold italic k end stylebegin mathsize 20px style bold italic k-th root of bold italic x bold plus bold italic k-th root of bold italic y bold equals bold italic k-th root of bold italic x bold plus bold italic y end root end style


The simplification of begin mathsize 20px style square root of bold 5 space open parentheses bold z bold plus square root of bold 15 close parentheses end style is begin mathsize 20px style bold italic z square root of bold 5 bold plus bold 5 square root of bold 3 end style

The simplification of begin mathsize 20px style square root of bold 5 space open parentheses bold z bold plus square root of bold 15 close parentheses end style is begin mathsize 20px style bold italic z square root of bold 5 bold plus bold 5 square root of bold 3 end style

Simplify begin mathsize 20px style bold left parenthesis square root of bold x bold plus square root of bold y bold right parenthesis bold left parenthesis square root of bold x bold minus square root of bold y bold right parenthesis end style


Simplify begin mathsize 20px style bold left parenthesis square root of bold x bold plus square root of bold y bold right parenthesis bold left parenthesis square root of bold x bold minus square root of bold y bold right parenthesis end style

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The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold italic x bold less or equal than bold minus bold 2 bold space bold italic o bold italic r bold space bold italic x bold greater or equal than bold 5 bold right curly bracket end style is:

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold italic x bold less or equal than bold minus bold 2 bold space bold italic o bold italic r bold space bold italic x bold greater or equal than bold 5 bold right curly bracket end style is:

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D.

The following graph represents the graph of the function.............. 



 



 

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The interval begin mathsize 20px style bold left parenthesis bold italic c bold comma bold space bold italic d bold right square bracket end style is defined as the set of all numbers begin mathsize 20px style bold italic x end style for which begin mathsize 20px style bold italic c bold less than bold italic x bold less or equal than bold italic d end style

The interval begin mathsize 20px style bold left parenthesis bold italic c bold comma bold space bold italic d bold right square bracket end style is defined as the set of all numbers begin mathsize 20px style bold italic x end style for which begin mathsize 20px style bold italic c bold less than bold italic x bold less or equal than bold italic d end style

The solution set of the equation begin mathsize 20px style square root of bold italic x bold plus bold 3 bold equals bold 5 end style is:

The solution set of the equation  begin mathsize 20px style square root of bold italic x bold plus bold 3 bold equals bold 5 end style is:

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Simplify Error converting from MathML to accessible text

Simplify   Error converting from MathML to accessible text

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The value of the function begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold 4 bold italic x bold minus bold 4 end root end style when begin mathsize 20px style bold italic f bold left parenthesis bold 2 bold right parenthesis end style is:

The value of the function begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold 4 bold italic x bold minus bold 4 end root end style when begin mathsize 20px style bold italic f bold left parenthesis bold 2 bold right parenthesis end style is:

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begin mathsize 20px style 3 end style is a solution of the inequality begin mathsize 20px style bold 12 bold italic x bold less or equal than bold 36 end style

begin mathsize 20px style 3 end style is a solution of the inequality begin mathsize 20px style bold 12 bold italic x bold less or equal than bold 36 end style

The solution of begin mathsize 20px style square root of bold 2 bold italic x bold plus bold 1 end root bold minus bold 2 bold equals bold 3 end style is 25

The solution of begin mathsize 20px style square root of bold 2 bold italic x bold plus bold 1 end root bold minus bold 2 bold equals bold 3 end style is 25

Solve: begin mathsize 20px style bold minus bold 3 bold italic x bold minus bold 3 bold less than bold minus bold 9 bold space bold italic o bold italic r bold space bold minus bold 3 bold italic x bold minus bold 3 bold less than bold 6 end style

Solve: begin mathsize 20px style bold minus bold 3 bold italic x bold minus bold 3 bold less than bold minus bold 9 bold space bold italic o bold italic r bold space bold minus bold 3 bold italic x bold minus bold 3 bold less than bold 6 end style

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The distance between begin mathsize 20px style bold minus bold 3 bold space bold and bold space bold 13 end style is begin mathsize 20px style bold minus bold 16 end style.

The distance between begin mathsize 20px style bold minus bold 3 bold space bold and bold space bold 13 end style is begin mathsize 20px style bold minus bold 16 end style.

The interval begin mathsize 20px style bold left square bracket bold italic c bold comma bold space bold italic d bold right square bracket end style is defined as the set of all numbers begin mathsize 20px style bold italic x end style for which begin mathsize 20px style bold italic c bold less or equal than bold italic x bold less or equal than bold italic d end style

The interval begin mathsize 20px style bold left square bracket bold italic c bold comma bold space bold italic d bold right square bracket end style is defined as the set of all numbers begin mathsize 20px style bold italic x end style for which begin mathsize 20px style bold italic c bold less or equal than bold italic x bold less or equal than bold italic d end style

Solve: begin mathsize 20px style bold 2 bold italic x bold plus bold 8 bold greater than bold minus bold 6 bold space bold italic a bold italic n bold italic d bold space bold 3 bold italic x bold minus bold 1 bold greater or equal than bold 11 end style

Solve: begin mathsize 20px style bold 2 bold italic x bold plus bold 8 bold greater than bold minus bold 6 bold space bold italic a bold italic n bold italic d bold space bold 3 bold italic x bold minus bold 1 bold greater or equal than bold 11 end style

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One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold italic x bold greater than bold 0 end cell row cell bold italic x bold plus bold italic y bold less than bold 3 end cell end table close end style:

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold italic x bold greater than bold 0 end cell row cell bold italic x bold plus bold italic y bold less than bold 3 end cell end table close end style:

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B.
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D.
The solution of begin mathsize 20px style bold vertical line bold italic x bold plus bold 3 bold vertical line bold less than bold 2 end style is:

The solution of begin mathsize 20px style bold vertical line bold italic x bold plus bold 3 bold vertical line bold less than bold 2 end style is:

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B.
C.
D.
The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold minus bold 4 bold less or equal than bold italic x bold less than bold 9 bold right curly bracket end style is:

The interval notation for the set begin mathsize 20px style bold left curly bracket bold italic x bold colon bold minus bold 4 bold less or equal than bold italic x bold less than bold 9 bold right curly bracket end style is:

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B.
C.
D.
Solve: bold 2 bold italic x bold plus bold 8 bold greater than bold minus bold 6 bold space bold italic o bold italic r bold space bold 3 bold italic x bold minus bold 1 bold greater or equal than bold 11 Solve: begin mathsize 20px style bold 2 bold italic x bold plus bold 8 bold greater than bold minus bold 6 bold space bold italic o bold italic r bold space bold 3 bold italic x bold minus bold 1 bold greater or equal than bold 11 end style

Solve: begin mathsize 20px style bold 2 bold italic x bold plus bold 8 bold greater than bold minus bold 6 bold space bold italic o bold italic r bold space bold 3 bold italic x bold minus bold 1 bold greater or equal than bold 11 end style

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B.
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D.
The solution set of begin mathsize 20px style bold vertical line bold 7 bold italic x bold vertical line bold equals bold vertical line bold 6 bold minus bold 4 bold italic x bold vertical line end style is

The solution set of begin mathsize 20px style bold vertical line bold 7 bold italic x bold vertical line bold equals bold vertical line bold 6 bold minus bold 4 bold italic x bold vertical line end style is

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begin mathsize 20px style bold vertical line bold minus bold italic a bold vertical line bold equals bold vertical line bold italic a bold vertical line end style, for any real number begin mathsize 20px style bold italic a end style.

begin mathsize 20px style bold vertical line bold minus bold italic a bold vertical line bold equals bold vertical line bold italic a bold vertical line end style, for any real number begin mathsize 20px style bold italic a end style.

The distance between begin mathsize 20px style bold 18 bold space bold and bold space bold minus bold 4 end style is begin mathsize 20px style bold 14 end style.

The distance between begin mathsize 20px style bold 18 bold space bold and bold space bold minus bold 4 end style is begin mathsize 20px style bold 14 end style.

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold italic x bold plus bold italic y bold less or equal than bold 3 end cell row cell bold italic x bold minus bold italic y bold less than bold 4 end cell end table close end style:

One of the following is a solution to the system begin mathsize 20px style open curly brackets table attributes columnalign left end attributes row cell bold italic x bold plus bold italic y bold less or equal than bold 3 end cell row cell bold italic x bold minus bold italic y bold less than bold 4 end cell end table close end style:

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B.
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begin mathsize 20px style bold vertical line bold italic a bold plus bold italic b bold vertical line bold equals bold vertical line bold italic a bold vertical line bold plus bold vertical line bold italic b bold vertical line end style, for any real numbers begin mathsize 20px style bold italic a bold space bold and bold space bold italic b end style.

begin mathsize 20px style bold vertical line bold italic a bold plus bold italic b bold vertical line bold equals bold vertical line bold italic a bold vertical line bold plus bold vertical line bold italic b bold vertical line end style, for any real numbers begin mathsize 20px style bold italic a bold space bold and bold space bold italic b end style.

The solution set of begin mathsize 20px style bold vertical line bold 2 bold italic x bold vertical line bold less or equal than bold 6 end style is

The solution set of begin mathsize 20px style bold vertical line bold 2 bold italic x bold vertical line bold less or equal than bold 6 end style is

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B.
C.
D.
The distance between begin mathsize 20px style bold minus bold 18 bold space bold and bold space bold minus bold 4 end style is begin mathsize 20px style bold 14 end style. The distance between begin mathsize 20px style bold minus bold 18 bold space bold and bold space bold minus bold 4 end style is begin mathsize 20px style bold 14 end style.

The distance between begin mathsize 20px style bold minus bold 18 bold space bold and bold space bold minus bold 4 end style is begin mathsize 20px style bold 14 end style.

begin mathsize 20px style bold left parenthesis square root of bold italic a bold minus square root of bold italic b bold right parenthesis to the power of bold 2 bold equals bold italic a bold minus bold italic b end style

begin mathsize 20px style bold left parenthesis square root of bold italic a bold minus square root of bold italic b bold right parenthesis to the power of bold 2 bold equals bold italic a bold minus bold italic b end style 

The simplification of begin mathsize 20px style root index bold 9 of bold italic x to the power of bold 3 bold italic y to the power of bold 6 end root end styleis begin mathsize 20px style bold italic x bold italic y to the power of bold 2 end style

The simplification of begin mathsize 20px style root index bold 9 of bold italic x to the power of bold 3 bold italic y to the power of bold 6 end root end styleis begin mathsize 20px style bold italic x bold italic y to the power of bold 2 end style

Let begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold x to the power of bold 2 bold plus bold 1 end root end style then begin mathsize 20px style bold italic f bold left parenthesis bold minus bold 1 bold right parenthesis equals end style

Let begin mathsize 20px style bold italic f bold left parenthesis bold italic x bold right parenthesis bold equals square root of bold x to the power of bold 2 bold plus bold 1 end root end style then begin mathsize 20px style bold italic f bold left parenthesis bold minus bold 1 bold right parenthesis equals end style

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begin mathsize 20px style bold left parenthesis square root of bold italic x bold plus bold 1 bold right parenthesis bold left parenthesis square root of bold italic x bold minus bold 1 bold right parenthesis bold equals bold italic x bold minus bold 1 end style

 begin mathsize 20px style bold left parenthesis square root of bold italic x bold plus bold 1 bold right parenthesis bold left parenthesis square root of bold italic x bold minus bold 1 bold right parenthesis bold equals bold italic x bold minus bold 1 end style 

The solution set of the equation begin mathsize 20px style bold italic x bold equals square root of bold italic x bold plus bold 2 end root bold plus bold 4 end style is:

The solution set of the equation  begin mathsize 20px style bold italic x bold equals square root of bold italic x bold plus bold 2 end root bold plus bold 4 end style is:

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The simplification of begin mathsize 20px style square root of fraction numerator bold 49 over denominator bold 9 bold italic x to the power of bold 4 end fraction end root end styleis begin mathsize 20px style bold 7 over bold italic x to the power of bold 2 end style

The simplification of begin mathsize 20px style square root of fraction numerator bold 49 over denominator bold 9 bold italic x to the power of bold 4 end fraction end root end styleis begin mathsize 20px style bold 7 over bold italic x to the power of bold 2 end style

The solution set of begin mathsize 20px style bold 5 bold italic x bold less or equal than bold 15 end styleor begin mathsize 20px style bold 5 bold italic x bold minus bold 1 bold greater or equal than bold 9 end style is

The solution set of begin mathsize 20px style bold 5 bold italic x bold less or equal than bold 15 end styleor begin mathsize 20px style bold 5 bold italic x bold minus bold 1 bold greater or equal than bold 9 end style is 

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B.
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D.
The solution of begin mathsize 20px style bold vertical line bold 2 bold italic x bold plus bold 7 bold vertical line bold greater than bold 5 end style is:

The solution of begin mathsize 20px style bold vertical line bold 2 bold italic x bold plus bold 7 bold vertical line bold greater than bold 5 end style is:

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The simplification of begin mathsize 20px style bold n to the power of begin display style bold 1 over bold 3 end style end exponent over bold n to the power of begin display style bold 1 over bold 6 end style end exponent end styleis begin mathsize 20px style bold italic n to the power of bold 1 over bold 6 end exponent end style

The simplification of begin mathsize 20px style bold n to the power of begin display style bold 1 over bold 3 end style end exponent over bold n to the power of begin display style bold 1 over bold 6 end style end exponent end styleis begin mathsize 20px style bold italic n to the power of bold 1 over bold 6 end exponent end style

begin mathsize 20px style bold left parenthesis bold minus bold infinity bold comma bold minus bold 3 bold right square bracket bold union bold left square bracket bold 5 bold comma bold infinity bold right parenthesis bold equals bold left parenthesis bold minus bold infinity bold comma bold infinity bold right parenthesis end style

begin mathsize 20px style bold left parenthesis bold minus bold infinity bold comma bold minus bold 3 bold right square bracket bold union bold left square bracket bold 5 bold comma bold infinity bold right parenthesis bold equals bold left parenthesis bold minus bold infinity bold comma bold infinity bold right parenthesis end style

Multiply and simplify: begin mathsize 20px style root index bold 3 of bold 2 bold italic a to the power of bold 3 bold italic b end root bold times root index bold 3 of bold 12 bold italic a bold italic b end root end style

Multiply and simplify: begin mathsize 20px style root index bold 3 of bold 2 bold italic a to the power of bold 3 bold italic b end root bold times root index bold 3 of bold 12 bold italic a bold italic b end root end style

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The simplification of begin mathsize 20px style fraction numerator root index bold 5 of bold 64 over denominator root index bold 5 of bold 2 end fraction end styleis begin mathsize 20px style bold 2 end style

The simplification of begin mathsize 20px style fraction numerator root index bold 5 of bold 64 over denominator root index bold 5 of bold 2 end fraction end styleis begin mathsize 20px style bold 2 end style

Multiply and simplify: begin mathsize 20px style root index bold 3 of bold 2 bold italic a to the power of bold 3 bold italic b end root bold times root index bold 3 of bold 12 bold italic a bold italic b end root end style

Multiply and simplify: begin mathsize 20px style root index bold 3 of bold 2 bold italic a to the power of bold 3 bold italic b end root bold times root index bold 3 of bold 12 bold italic a bold italic b end root end style

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