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Which of the following inequalities represents the entire solution set for x if |x| > x?

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by BTGmoderatorDC » Wed Jan 06, 2021 4:52 pm

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E

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Which of the following inequalities represents the entire solution set for x if |x| > x?

A. x ≥ 0
B. x > 0
C. x ≤ 0
D. x < 0
E. x < −1


OA D

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Re: Which of the following inequalities represents the entire solution set for x if |x| > x?

by Scott@TargetTestPrep » Thu Jan 14, 2021 4:30 am
BTGmoderatorDC wrote: ↑
Wed Jan 06, 2021 4:52 pm
 Which of the following inequalities represents the entire solution set for x if |x| > x?

A. x ≥ 0
B. x > 0
C. x ≤ 0
D. x < 0
E. x < −1


OA D

Solution:

If x is positive or zero, then |x| = x and vice versa. Since here |x| is greater than x, x must be less than zero.

Answer: D

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