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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]

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14 May 2012, 10:39
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Is x^2>x

(1) x^2 is greater than 1

(2) x is greater than -1
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 38814
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Kudos [?]: 105849 [1] , given: 11592

Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink]

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14 May 2012, 14:04
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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]

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02 Sep 2014, 12:55
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink]

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26 Dec 2015, 18:32
Hello from the GMAT Club BumpBot!

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

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28 Dec 2015, 22:44
Bunuel wrote:

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

can you explain this step please? what confuses me is the "X < 0" part.
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink]

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29 Dec 2015, 01:42
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Senior Manager
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1 [#permalink]

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03 Jan 2016, 11:38
AS7x wrote:
Bunuel wrote:

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

can you explain this step please? what confuses me is the "X < 0" part.

This is easy one. We have to find intervals where x(x-1)>0. We have two points where this inequality turns to zero, 0 and 1. If x>1 than this inequality holds. If 0<x<1 then this is not true (negative sign). And if x<0 then inequality is true. You can check this by plugging numbers from different intervals
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Re: Is x^2>x (1) x^2 is greater than 1 (2) x is greater than -1   [#permalink] 03 Jan 2016, 11:38
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