Which statement is not true?

x2 = 100 if and only if x = 10 or x = –10.
if x2 = 100, then x = 10.
if x = –10, then x2 = 100.
if x = 10, then x2 = 100

Statement represented by option B is not a correct choice.

Step-by-step explanation:

We have been given 4 statements. We are asked to choose the statement that is not true.

A. , if and only if .

Let us solve for x by taking square root of both sides of our given equation.

Therefore, our given statement is true.

B. , then .

Upon taking square root we will get positive and negative 10, therefore, the given statement is false.

C. If , then  

Since we know that square of a negative number is positive, therefore, square of negative 10 is 100 and the given statement is true.

D. If , then  

Upon squaring 10 we will get 100, therefore, the given statement is true as well.

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step-by-step explanation:

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