x^2 < x^3sud21 wrote:Is X^2 < X^3?
1). X<X^2
2). X<1
x^2 - x^3 < 0
is x^2(1 - x) < 0 ?
x^2 < 0 or 1-x < 0.
x^2 cannot be negative as it an even power. So 1 - x < 0 => 1 < x => x >1.
Is x > 1 ?
1.x < x^2 => x - x^2 < 0
x(1 - x) < 0
Either of them can be -ve for the value to be < 0.
x < 0 or x > 1. So we cannot say whether x > 1 or not. INSUFF.
B. X < 1. So the answer to the question is a NO. SUFF.
IMO B.
