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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, 04:47
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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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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, 06:09
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Top Contributor
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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, 17:07
x^3 >= x

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

1/2 does not fall in either.

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

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New post 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
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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 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

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

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