Is x^3 > x^2 ?
(1) x > 0
(2) x^2 > x
Since x³ > x² only if x≠0, we can rephrase the question stem by dividing by x², which must be a POSITIVE value:
x³/x² > x²/x²
x > 1.
Question rephrased: Is x>1?
Statement 1: x>0
Since it's possible that x=1/2 or that x=2, INSUFFICIENT.
Statement 2: x² > x
Since it's possible that x = ±2, INSUFFICIENT.
Statements combined:
No positive value less than or equal to 1 will satisfy both statements.
Thus, x>1.
SUFFICIENT.
The correct answer is
C.
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