siddhans wrote:
What is the value of \(|x|\) ?
(1) \(x = -|x|\)
(2) \(x^2 = 4\)
Solution:
We need to determine the absolute value of x.
Statement One Alone:x = -|x|
If x = -|x|, then x must be
negative or 0. For example, if x = -3, -3 = -|-3|. However, since we do not have an exact value for x, statement one is not sufficient. We can eliminate answer choices A and D.
Statement Two Alone:x^2 = 4
We can simplify by taking the square root of both sides of the equation:
√x^2 = √4
|x| = 2
Since we have 2 as the value for |x|, this answers the question.
Answer: B
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