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Is x^3 > y^2?

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Is x^3 > y^2? [#permalink] New post 22 May 2010, 23:33


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Is x^3 > y^2?

(1) y = x^2
(2) x > x^2
[Reveal] Spoiler: OA


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Re: X^3>y^2 [#permalink] New post 23 May 2010, 01:38
Expert's post
dimitri92 wrote:
Is X^3>y^2

1) y=x^2

2) x>x^2

Is x^3>y^2?

(1) y=x^2 --> question becomes: is x^3>x^4? Not sufficient. (For 0<x<1 answer is YES but for other values of x answer is NO)

(2) x>x^2. No info about y. Not sufficient. But form this statement: x^2-x<0 --> 0<x<1.

(1)+(2) For any value of x from the range 0<x<1 (from 2) inequality x^3(1-x)>0 holds true. Sufficient.

Answer: C.


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Re: X^3>y^2   [#permalink] 23 May 2010, 01:38
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