Bunuel wrote:

Is x^3 > 0?

(1) (x + y)(x – y) = 0

(2) x = |y|

The question essentially asks is \(x>0\) i.e. positive

Statement 1: implies \(x=-y\) or \(x=y\). but we don't know what is the sign of \(y\). Hence

insufficientStatement 2: this implies that either \(x\) is positive or \(0\) when \(y=0\). Hence \(x^3\) will either be positive or equal to \(0\).

Insufficient.

Combining 1 & 2, again we have either \(x>0\) or \(x=0\). Hence

InsufficientOption

E