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Is x>(-3)^(1/3)?

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Is x>(-3)^(1/3)? [#permalink]

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New post Updated on: 08 Aug 2017, 00:54
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A
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62% (01:11) correct 38% (01:18) wrong based on 69 sessions

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Is \(x>(-3)^{\frac{1}{3}}\)?


(1) \(x>(-2)^{\frac{1}{3}}\)

(2) \(x>(-4)^{\frac{1}{3}}\)

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Originally posted by MathRevolution on 07 Aug 2017, 01:25.
Last edited by Bunuel on 08 Aug 2017, 00:54, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Is x>(-3)^(1/3)? [#permalink]

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New post 07 Aug 2017, 05:53
1
MathRevolution wrote:
Is \(x>(-3)^{\frac{1}{3}}\)?

\(1) x>(-2)^{\frac{1}{3}}\)
\(2) x>(-4)^{\frac{1}{3}}\)



(1) \(-2 > -3 \implies (-2)^{\frac{1}{3}} > (-3)^{\frac{1}{3}} \implies x > (-3)^{\frac{1}{3}}\). Sufficient.

(2) Since \((-4)^{\frac{1}{3}} < (-3)^{\frac{1}{3}}\), we could have \(x < (-3)^{\frac{1}{3}}\) or \(x=(-3)^{\frac{1}{3}}\) or \(x > (-3)^{\frac{1}{3}}\). Insufficient.

The answer is A
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Re: Is x>(-3)^(1/3)? [#permalink]

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New post 07 Aug 2017, 11:41
I don't think the GMAT tests us on imaginary numbers.
Highly unlikely you would see this sort of question in the real test.
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Re: Is x>(-3)^(1/3)? [#permalink]

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New post 07 Aug 2017, 17:54
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panwala95 wrote:
I don't think the GMAT tests us on imaginary numbers.
Highly unlikely you would see this sort of question in the real test.


There is no complex number here, just real numbers.

\((-3)^{\frac{1}{3}}=\sqrt[3]{-3} = - \sqrt[3]{3}\)
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Re: Is x>(-3)^(1/3)? [#permalink]

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New post 09 Aug 2017, 18:07
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Re: Is x>(-3)^(1/3)?   [#permalink] 09 Aug 2017, 18:07
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