(1) If

x = 2, then \(x^2 = 4\); here

x > 0

If

x = -2, then \(x^2 = (-2)^2 = 4\); here

x < 0

x may or may not be greater than 0. Hence, there is no unique answer.

So, statement 1 is NOT SUFFICIENT.

(2) \(x^2 < x^3\) implies that

x > 1, which implies

x is always positive. So,

x > 0.

So, statement 2 is SUFFICIENT.

_________________

Anurag Mairal, Ph.D., MBA

GMAT Expert, Admissions and Career Guidance

Gurome, Inc.

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