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Is x negative?

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Is x negative?  [#permalink]

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New post Updated on: 19 Jun 2018, 03:05
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Is x negative?

(1) \(x^2\) is positive.
(2) \(x^3\) is non-positive.

Originally posted by kumar23badgujar on 03 Aug 2013, 23:46.
Last edited by Bunuel on 19 Jun 2018, 03:05, edited 2 times in total.
Edited the question.
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Re: Is x negative?  [#permalink]

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New post 03 Aug 2013, 23:50
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1
Is x negative?


(1) \(x^2\) is positive.
\(x^2>0\) so \(x\neq{0}\).
Not sufficient

(2) \(x^3\) is non-positive.
\(x^3\leq{0}\) so \(x\leq{0}\).
Not sufficient, x could be 0.

1+2) From 2 we have \(x\leq{0}\), and 1 says that x \(x\neq{0}\) ==> \(x<0\).
Sufficient
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Re: Is x negative?  [#permalink]

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New post 04 Aug 2013, 00:21
1
kumar23badgujar wrote:
Is x negative?
(1) \(x^2\) is positive.
(2) \(x^3\) is non-positive.


Statement 1
\(x^2\) is positive.
Means x>0 or x<0 but not zero
Insufficient

Statement 2
\(x^3\) is non-positive
Means x=0 or x<0
Insufficient

Statement 1& 2
x<0
Sufficient
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Re: Is x negative?  [#permalink]

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New post 09 Mar 2019, 05:15
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 negative?   [#permalink] 09 Mar 2019, 05:15
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