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# Which of the following must be greater than x, where -1 < x

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Senior Manager
Joined: 20 May 2014
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Which of the following must be greater than x, where -1 < x [#permalink]  29 Oct 2017, 01:23
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16% (00:31) correct 83% (01:04) wrong based on 12 sessions
Which of the following must be greater than x, where -1 < x < 0?

Choose ALL that apply.

A. $$x^3$$

B. $$\sqrt[3]{x}$$

C. $$x^2+x$$

D. $$x^2-x^3$$

E. $$1+2x$$

Kudos for correct solution.

[Reveal] Spoiler: OA
A, C, D, and E
[Reveal] Spoiler: OA
Director
Joined: 03 Sep 2017
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Re: Which of the following must be greater than x, where -1 < x [#permalink]  30 Oct 2017, 10:33
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I am ok with all the answers but C. If x = -(1/2), then x^2+x = 1/4-1/2 = -1/2 that is equal to x. So it is not true that x^2+x must be greater than x.

Am I right? Or am I just tired that I do not get why C is ok?
Intern
Joined: 05 Oct 2017
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Re: Which of the following must be greater than x, where -1 < x [#permalink]  20 Feb 2018, 11:15
i don`t get why A is right.. can someone please explain?

Bunuel wrote:
Which of the following must be greater than x, where -1 < x < 0? Choose ALL that apply.

A. $$x^3$$

B. $$\sqrt[3]{x}$$

C. $$x^2+x$$

D. $$x^2-x^3$$

E. $$1+2x$$

Kudos for correct solution.

[Reveal] Spoiler: OA
A, C, D, and E
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Re: Which of the following must be greater than x, where -1 < x [#permalink]  20 Feb 2018, 11:38
Expert's post
Think x = 0.5 that is an exactly half way between -1 and zero.

-0.5 elevated to the third power becomes -0.125 that is on the number line is closer to zero than -0.5. Which means -0.125 is on the right side of -0.5

-1 ------------- -0.5 ----------------- - 0.125------------ zero

A is correct.

Hope this helps.

Regards
_________________
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Joined: 05 Oct 2017
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Kudos [?]: 7 [0], given: 1

Re: Which of the following must be greater than x, where -1 < x [#permalink]  21 Feb 2018, 10:00
thanks

Carcass wrote:
Think x = 0.5 that is an exactly half way between -1 and zero.

-0.5 elevated to the third power becomes -0.125 that is on the number line is closer to zero than -0.5. Which means -0.125 is on the right side of -0.5

-1 ------------- -0.5 ----------------- - 0.125------------ zero

A is correct.

Hope this helps.

Regards
Re: Which of the following must be greater than x, where -1 < x   [#permalink] 21 Feb 2018, 10:00
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# Which of the following must be greater than x, where -1 < x

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