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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # Which of the following must be greater than x, where -1 < x  Question banks Downloads My Bookmarks Reviews Important topics
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TAGS: Senior Manager Joined: 20 May 2014
Posts: 282
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Kudos [?]: 50  , given: 220

Which of the following must be greater than x, where -1 < x [#permalink]
1
KUDOS 00:00

Question Stats: 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. $$\sqrt{x}$$

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
Posts: 521
Followers: 1

Kudos [?]: 344  , given: 66

Re: Which of the following must be greater than x, where -1 < x [#permalink]
1
KUDOS
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
Posts: 10
Followers: 0

Kudos [?]: 7 , given: 1

Re: Which of the following must be greater than x, where -1 < x [#permalink]
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. $$\sqrt{x}$$

C. $$x^2+x$$

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

E. $$1+2x$$

Kudos for correct solution.

[Reveal] Spoiler: OA
A, C, D, and E
Moderator  Joined: 18 Apr 2015
Posts: 5897
Followers: 96

Kudos [?]: 1154 , given: 5478

Re: Which of the following must be greater than x, where -1 < x [#permalink]
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
_________________
Intern Joined: 05 Oct 2017
Posts: 10
Followers: 0

Kudos [?]: 7 , given: 1

Re: Which of the following must be greater than x, where -1 < x [#permalink]
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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