Question

We want the following inequality to be

true:
|x| < 9
Which of the following are possible
values for x?
Choose all answers that apply:
A
B
x = -10
x = 7
x = 13

Answer 1

x = 7

Explanation:

The integer values of x that satisfy |x| < 9 are ...

{-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7. 8}

Of these values, the only one listed as an answer choice is ...

x = 7

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Additional comment

The expression |x| means "the absolute value of x". It is the value of x with the sign made positive. That is |-10| = 10, a number greater than 9. Of course, |13| = 13, also a number greater than 9.