What is the value of |x|?

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What is the value of |x|?

by VJesus12 » Sat Apr 20, 2019 2:26 am

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What is the value of \(|x|\)?

(1) \(x = -|x|\)
(2) \(x^2 = 4\)

[spoiler]OA=B[/spoiler]

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by GMATGuruNY » Sat Apr 20, 2019 2:57 am

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VJesus12 wrote:What is the value of \(|x|\)?

(1) \(x = -|x|\)
(2) \(x^2 = 4\)
Statement 1:
Case 1: x=0, with the result that -|x| = - |0| = 0
In this case, |x| = 0.
Case 2: x=-1, with the result that -|-1| = -1
In this case, |x| = 1.
Since |x| can be different values, INSUFFICIENT.

Statement 2:
Thus, x=2 or x=-2.
In each case, |x|=2.
SUFFICIENT.

The correct answer is B.
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