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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: 35
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
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67% (01:07) correct 33% (01:02) wrong based on 324 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.
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Joined: 11 Sep 2015
Posts: 4999
GMAT 1: 770 Q49 V46
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
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Top Contributor
1
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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Manager
Joined: 04 Jan 2014
Posts: 112
GMAT 1: 660 Q48 V32
GMAT 2: 630 Q48 V28
GMAT 3: 680 Q48 V35
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.

Intern
Joined: 06 Oct 2017
Posts: 6
If x is a real number satisfying x^3 >= x, which of the following does  [#permalink]

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17 Jul 2019, 05:42
GMATPrepNow wrote:
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

Isn't -1/8 > -1/2 Wrong?
-1/8 < -1/2 must also be true because
-0.125 < -0.5
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 4999
GMAT 1: 770 Q49 V46
Re: If x is a real number satisfying x^3 >= x, which of the following does  [#permalink]

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17 Jul 2019, 06:45
Top Contributor
karan.tkr wrote:

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

Isn't -1/8 > -1/2 Wrong?
-1/8 < -1/2 must also be true because
-0.125 < -0.5

-0.125 isn't less than -0.5
If the two values were positive, then we could say 0.125 is less that 0.5.

When comparing NEGATIVE values, the number with the greater MAGNITUDE will be the smaller value.
For example, -5 is less than -3
And -11 is less than -4
And -7 is less than -1
And -8 is less than -2

Cheers,
Brent
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Re: If x is a real number satisfying x^3 >= x, which of the following does   [#permalink] 17 Jul 2019, 06:45