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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