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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22 May 2012, 13:51
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Is x^2 > 15?

(1) x > -4
(2) x^3 < 0
[Reveal] Spoiler: OA

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

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22 May 2012, 14:04
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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.

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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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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24 Jun 2015, 04:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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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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