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# If x >= -1 and x >= x^5, which of the following must be true?

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Director
Joined: 31 Oct 2013
Posts: 898
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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Updated on: 13 Nov 2018, 20:04
4
00:00

Difficulty:

85% (hard)

Question Stats:

25% (00:53) correct 75% (01:13) wrong based on 88 sessions

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If $$x\geq-1$$ and $$x\geq x^5$$, which of the following must be true?

A) $$x > 1$$

B) $$0 < x < 1$$

C) $$-1\leq x<0$$

D) $$x > 0$$

E) $$x\geq0$$

Originally posted by selim on 13 Nov 2018, 17:30.
Last edited by Bunuel on 13 Nov 2018, 20:04, edited 2 times in total.
Renamed the topic and edited the question.
Intern
Joined: 29 Dec 2014
Posts: 18
Re: If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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13 Nov 2018, 17:52
1
It should be b

If x>x5 that means x cannot be nagative between 0 to 1
Example x=-1/2 than x5=-1/32

So x5 is closer to zero so x5>x

So c is wrong

Posted from my mobile device
Manager
Joined: 26 Feb 2017
Posts: 89
Location: India
GPA: 3.99
Re: If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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14 Nov 2018, 05:53
Looks like OA mentioned is wrong, it should be B.

Please correct me if I am wrong

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Senior Manager
Joined: 27 Dec 2016
Posts: 258
If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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18 Nov 2018, 17:51
I believe the OA is correct. Question asks for an equation that must hold true in all circumstances. If we have x=-1, all answer choices except C fails.
Senior Manager
Joined: 27 Dec 2016
Posts: 258
Re: If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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18 Nov 2018, 17:54
ankit9291 wrote:
It should be b

If x>x5 that means x cannot be nagative between 0 to 1
Example x=-1/2 than x5=-1/32

So x5 is closer to zero so x5>x

So c is wrong

Posted from my mobile device

Hi,

You made a mistake when noting down the equation. The question says x is greater than OR equal to x^5 (In other words, x can be negative) NOT x is ONLY greater than x^5. Hope this helps!
Intern
Joined: 31 May 2018
Posts: 11
Re: If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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20 Nov 2018, 02:13
Intern
Joined: 12 Sep 2018
Posts: 2
If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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24 Nov 2018, 12:59
OA is incorrect. Using $$X = -1/2$$, $$X^5 = -1/32$$. In which case, $$X < X^5$$.

The correct ranges are $$X = -1$$ OR $$0 \geq x \geq 1$$
If x >= -1 and x >= x^5, which of the following must be true? &nbs [#permalink] 24 Nov 2018, 12:59
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# If x >= -1 and x >= x^5, which of the following must be true?

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