Which statement is not true?
if x = 1, then x2 = 1.
if x = –1, then x2 = 1.
x2 = 1 if and only if x = 1 or x = –1.
if x2 = 1, then x = 1.

 The statement that is not true is

(D) If x² = 1, then x = 1.

Step-by-step explanation:  We are given to select the statement that is NOT true.

Statement 1 :  If x = 1, then x² = 1.

Let x = 1, then we have

So, the statement is TRUE.

Statement 2 :  If x = -1, then x² = 1.

Let x = -1, then we have

So, the statement is TRUE.

Statement 3 : x² = 1 if and only if x = 1 or x = –1.

Let x = 1 or -1, then we have

Again, let x² = 1, then

So, x² = 1 if and only if x = 1 or x = –1.

That is, the statement is TRUE.

Statement 4 : If x² = 1, then x= 1.

Let x² = -1, then we have

So, if x² = 1, then x = 1 or x = –1.

Therefore, the statement is NOT TRUE.

Thus, the statement that is not true is (D).

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step-by-step explanation: