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# Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1

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Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink]  14 May 2012, 09:39
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Is x^2>x

(1) x^2 is greater than 1

(2) x is greater than -1
[Reveal] Spoiler: OA
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink]  14 May 2012, 13:04
Expert's post
Is x^2>x

Is $$x^2 > x$$? --> is $$x(x-1)>0$$? --> is $$x<0$$ or $$x>1$$?

(1) x^2 is greater than 1 --> $$x^2>1$$ --> $$x<-1$$ or $$x>1$$. Sufficient.

(2) x is greater than -1 --> $$x>-1$$. Not sufficient.

Solving inequalities:
x2-4x-94661.html#p731476
inequalities-trick-91482.html
data-suff-inequalities-109078.html
range-for-variable-x-in-a-given-inequality-109468.html?hilit=extreme#p873535
everything-is-less-than-zero-108884.html?hilit=extreme#p868863

Hope it helps.
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink]  02 Sep 2014, 11:55
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1   [#permalink] 02 Sep 2014, 11:55
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