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

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

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New post Updated on: 30 Aug 2016, 05:47
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A
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C
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Question Stats:

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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, 05:43.
Last edited by Bunuel on 30 Aug 2016, 05:47, edited 1 time in total.
Renamed the topic and edited the question.
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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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New post 30 Aug 2016, 07:09
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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.

Answer:

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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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New post 30 Aug 2016, 18:07
x^3 >= x

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

1/2 does not fall in either.

Answer (C).
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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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New post 15 Aug 2018, 05:10
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Re: If x is a real number satisfying x^3 >= x, which of the following does   [#permalink] 15 Aug 2018, 05:10
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