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If x ≠ 0, is x > 1?

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 49320
If x ≠ 0, is x > 1?  [#permalink]

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New post 21 May 2017, 11:18
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

70% (00:58) correct 30% (00:56) wrong based on 181 sessions

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Intern
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If x ≠ 0, is x > 1?  [#permalink]

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New post 22 May 2017, 15:05
1
(1) if x^4<1 we can conclude that x is a positive or a negative fraction and thus smaller than 1. Sfufficient.

(2) if |x|/x = 1 we can conclude that x is positive, but we don't know whether it's a positive fraction or a positive integer (and what is the size of the integer). Insufficient

Answer: A

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Re: If x ≠ 0, is x > 1?  [#permalink]

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New post 23 May 2017, 04:41
1
stat1 : X^4 will always be positive... hence for any x^4 to be less than 1 it has to be a number between 0 and 1 or 0 and -1..
suff

stat2: not suff..


ans A
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Re: If x ≠ 0, is x > 1?  [#permalink]

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New post 31 Aug 2017, 09:20
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Statement 1 tells us that x is a fraction since x^4 is < 1.
SUFFICIENT

Statement 2 tells us that x is positive since |x| is a positive and if the quotient of |x|/x is positive, then x must be positive. However x could be 1/2 or 20000 since they are both positive.
NOT SUFFICIENT
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Re: If x ≠ 0, is x > 1? &nbs [#permalink] 31 Aug 2017, 09:20
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