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

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 7236
GMAT 1: 760 Q51 V42
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Updated on: 08 Aug 2017, 00:54
2
00:00

Difficulty:

55% (hard)

Question Stats:

62% (01:26) correct 38% (01:25) wrong based on 73 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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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" 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. Senior CR Moderator Status: Long way to go! Joined: 10 Oct 2016 Posts: 1354 Location: Viet Nam Re: Is x>(-3)^(1/3)? [#permalink] ### Show Tags 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 _________________ Intern Joined: 28 Jun 2017 Posts: 27 Location: India GMAT 1: 660 Q48 V34 Re: Is x>(-3)^(1/3)? [#permalink] ### Show Tags 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. Senior CR Moderator Status: Long way to go! Joined: 10 Oct 2016 Posts: 1354 Location: Viet Nam Re: Is x>(-3)^(1/3)? [#permalink] ### Show Tags 07 Aug 2017, 17:54 1 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. $$(-3)^{\frac{1}{3}}=\sqrt[3]{-3} = - \sqrt[3]{3}$$ _________________ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7236 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Is x>(-3)^(1/3)? [#permalink] ### Show Tags 09 Aug 2017, 18:07 Attachment: 8.9.png [ 15.33 KiB | Viewed 658 times ] _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
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Re: Is x>(-3)^(1/3)?   [#permalink] 09 Aug 2017, 18:07
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