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# Is integer x positive? 1. x \gt x^3 2. x \lt x^2

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Current Student
Joined: 11 May 2008
Posts: 553
Is integer x positive? 1. x \gt x^3 2. x \lt x^2 [#permalink]

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29 Aug 2008, 02:51
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Is integer x positive?

1. $$x \gt x^3$$
2. $$x \lt x^2$$
Manager
Joined: 15 Jul 2008
Posts: 205
Re: is x positive [#permalink]

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29 Aug 2008, 03:51
arjtryarjtry wrote:
Is integer x positive?

1. $$x \gt x^3$$
2. $$x \lt x^2$$

a. since x is integer, the only way to satisfy statement 1 is to have -ve x.
Current Student
Joined: 04 Jan 2005
Posts: 283
Location: Milan
Schools: Wharton, LBS, UChicago, Kellogg MMM (Donald Jacobs Scholarship), Stanford, HBS
Re: is x positive [#permalink]

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29 Aug 2008, 03:52
1) is true from -infinity to +1 (excluded).
2) is true from -infinity to 0 (excluded) and +1 (excluded) to +infinity

combined it's true from -infinity to 0 => must be negative => C
Current Student
Joined: 04 Jan 2005
Posts: 283
Location: Milan
Schools: Wharton, LBS, UChicago, Kellogg MMM (Donald Jacobs Scholarship), Stanford, HBS
Re: is x positive [#permalink]

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29 Aug 2008, 03:53
bhushangiri wrote:
a. since x is integer, the only way to satisfy statement 1 is to have -ve x.

Try x= 1/2
Manager
Joined: 15 Jul 2008
Posts: 205
Re: is x positive [#permalink]

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29 Aug 2008, 03:57
bhushangiri wrote:
a. since x is integer, the only way to satisfy statement 1 is to have -ve x.

Try x= 1/2

1/2 is not an integer
Current Student
Joined: 04 Jan 2005
Posts: 283
Location: Milan
Schools: Wharton, LBS, UChicago, Kellogg MMM (Donald Jacobs Scholarship), Stanford, HBS
Re: is x positive [#permalink]

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29 Aug 2008, 04:00
AH! touché
SVP
Joined: 07 Nov 2007
Posts: 1789
Location: New York
Re: is x positive [#permalink]

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29 Aug 2008, 05:34
arjtryarjtry wrote:
Is integer x positive?

1. $$x \gt x^3$$
2. $$x \lt x^2$$

1) X^2(x-1)<0
--> x<1
Suffcieint
2) x(x-1)>0
x>0 and x-1>0 ---> x>1
or x<0 and x-1<0 --> x<0
two solutions
Not suffcient

A.
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Re: is x positive   [#permalink] 29 Aug 2008, 05:34
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# Is integer x positive? 1. x \gt x^3 2. x \lt x^2

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