Is x negative? 1) x^3(1-x^2)<0 2) x^2-1<0 : DS Archive
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# Is x negative? 1) x^3(1-x^2)<0 2) x^2-1<0

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SVP
Joined: 05 Jul 2006
Posts: 1683
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Kudos [?]: 297 [0], given: 49

Is x negative? 1) x^3(1-x^2)<0 2) x^2-1<0 [#permalink]

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15 Aug 2009, 23:45
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Is x negative?

1) x^3(1-x^2)<0

2) x^2-1<0
Director
Joined: 01 Apr 2008
Posts: 897
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Followers: 28

Kudos [?]: 626 [0], given: 18

Re: Is x negative? [#permalink]

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16 Aug 2009, 03:54
yezz wrote:
Is x negative?

1) x^3(1-x^2)<0

2) x^2-1<0

C
Stmt 1: The inequality is satisfied if x>1 or -1<x<0.
Insuff.

Stmt 2: x^2 < 1, hence x is in the interval -1<x<0 or 0<x<1.
Insuff.

Combining,
We have only one interval i.e -1<x<0. Hence sufficient.
Re: Is x negative?   [#permalink] 16 Aug 2009, 03:54
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# Is x negative? 1) x^3(1-x^2)<0 2) x^2-1<0

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