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# If x is a real number satisfying x^3 >= x, which of the following does

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Intern
Joined: 05 May 2016
Posts: 36
If x is a real number satisfying x^3 >= x, which of the following does  [#permalink]

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Updated on: 30 Aug 2016, 04:47
2
00:00

Difficulty:

35% (medium)

Question Stats:

64% (01:08) correct 36% (01:03) wrong based on 218 sessions

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If x is a real number satisfying $$x^3 \geq x$$, which of the following does NOT represent a possible value of x?

A) -1/2
B) 0
C) 1/2
D) 2
E) None of these

Originally posted by yosita18 on 30 Aug 2016, 04:43.
Last edited by Bunuel on 30 Aug 2016, 04:47, edited 1 time in total.
Renamed the topic and edited the question.
CEO
Joined: 11 Sep 2015
Posts: 3237
Re: If x is a real number satisfying x^3 >= x, which of the following does  [#permalink]

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30 Aug 2016, 06:09
1
Top Contributor
yosita18 wrote:
If x is a real number satisfying $$x^3 \geq x$$, which of the following does NOT represent a possible value of x?

A) -1/2
B) 0
C) 1/2
D) 2
E) None of these

A quick approach is to TEST each answer choice.

A) -1/2. Is it true that (-1/2)³ > -1/2?
Evaluate to get -1/8 > -1/2
This IS true. So, ELIMINATE A

B) 0
Is it true that 0³ > 0?
Evaluate to get 0 > 0
This IS true. So, ELIMINATE B

C) 1/2
Is it true that (1/2)³ > 1/2?
Evaluate to get 1/8 > 1/2
This is NOT true.

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Joined: 04 Jan 2014
Posts: 117
GMAT 1: 660 Q48 V32
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Re: If x is a real number satisfying x^3 >= x, which of the following does  [#permalink]

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30 Aug 2016, 17:07
x^3 >= x

Ranges for x: x >= 1; -1 <= x <= 0

1/2 does not fall in either.

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Joined: 09 Sep 2013
Posts: 9162
Re: If x is a real number satisfying x^3 >= x, which of the following does  [#permalink]

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15 Aug 2018, 04:10
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: If x is a real number satisfying x^3 >= x, which of the following does &nbs [#permalink] 15 Aug 2018, 04:10
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