Is x^2 > 15? (1) x > -4 (2) x^3 < 0 : GMAT Data Sufficiency (DS)
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Is x^2 > 15? (1) x > -4 (2) x^3 < 0

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Is x^2 > 15? (1) x > -4 (2) x^3 < 0 [#permalink]

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New post 22 May 2012, 13:51
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Re: Is x^2 > 15? (1) x > -4 (2) x^3 < 0 [#permalink]

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Is x^2 > 15?

Is \(x^2>15\)? --> is \(x<-\sqrt{15}\) or is \(x>\sqrt{15}\)?

(1) x > -4 --> if \(-4<x<-\sqrt{15}\) or if \(x>\sqrt{15}\) then the answer is YES but if \(-\sqrt{15}\leq{x}\leq{\sqrt{15}}\) then the answer is NO. Not sufficient.

(2) x^3 < 0 --> \(x<0\) --> if \(x<-\sqrt{15}\) then the answer is YES but if \(-\sqrt{15}\leq{x}<0\) then the answer is NO. Not sufficient.

(1)+(2) \(x>-4\) and \(x<0\) --> \(-4<x<0\) --> if \(-4<x<-\sqrt{15}\) then the answer is YES but if \(-\sqrt{15}\leq{x}<0\) then the answer is NO. Not sufficient.

Answer: E.

Hope it's clear.
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Re: Is x^2 > 15? (1) x > -4 (2) x^3 < 0 [#permalink]

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New post 22 May 2012, 14:41
maybe is a bit comfortable to work with number on a number line instead of \(\sqrt{15}\) (is the same after all)

1) x > - 4 -----> -3,9 is largest than 15 but -3 NO but again +5 yes insuff

2) x^3 < 0 ---> x is negative -----> -1 is NO -5 is YES Insuff

1) + 2) we have only negative value but -1 is YES -3.9 is NO -----> E

Thanks Bunuel .
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Re: Is x^2 > 15? (1) x > -4 (2) x^3 < 0 [#permalink]

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Re: Is x^2 > 15? (1) x > -4 (2) x^3 < 0   [#permalink] 24 Jun 2015, 04:01
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