What is the value of X?

[binaras]

Hi

Need help answering the attached.

Thanks

[fcabanski]

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.