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

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

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New post Updated on: 13 Nov 2018, 20:04
4
00:00
A
B
C
D
E

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.
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Re: If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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New post 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
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Re: If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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New post 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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If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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New post 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.
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Re: If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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New post 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!
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Re: If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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New post 20 Nov 2018, 02:13
Bunuel - could you please help on the above?
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If x >= -1 and x >= x^5, which of the following must be true?  [#permalink]

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New post 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 \(0 \geq x \geq 1\)
GMAT Club Bot
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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