src_saurav wrote:1. What is the value of |x| ?
1) x= -|x|
2) x² = 4
Statement 1: x = -|x|
It's possible that x=0, in which case |x| = |0| = 0.
It's possible that x=-1, in which case |x| = |-1| = 1.
Since |x| can be different values, INSUFFICIENT.
Statement 2: x² = 4, implying that x = ±2.
If x=2, then |x| = |2| = 2.
If x=-2, then |x| = |-2| = 2.
Thus, |x| = 2.
SUFFICIENT.
The correct answer is
B.
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