Statement 1: x can be any negative number, or x can be 0. |-1| = 1 = -(-1). -2, -3, -2.5 work: any negative number works. 0 works, because |-0| = 0 = -0. So statement 1 alone isn't sufficient.
Statement 2: x can't be a negative number. For example, |-1|^2 = 1 is not = - ((-1)^2) = -1.
x can't be a positive number. For example, |1|^2 = 1 is not = -(1^2). Only 0 works. |0|^2 = 0 = -(0^2). Statement 2 is sufficient. x=0.
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What is the value of X?
Source: Beat The GMAT — Data Sufficiency |
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