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# x/|x|<x. which of the following must be true about x ?

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Manager
Joined: 16 Mar 2016
Posts: 126
Location: France
GMAT 1: 660 Q47 V33
GPA: 3.25
Re: x/|x|<x. which of the following must be true about x ?  [#permalink]

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15 Oct 2016, 07:21
I have tried some values for x :
1 -> NOK
2 -> OK
1/2 -> NOK
-1 -> NOK
-1/2 -> OK

So, after calculating some values (which is quick), you can conclude that :

-1<x<0 and 1<x

So, yes, solution B, x MUST be superior to -1.
nota bene : the solution x=1/2 does not satisfy the question's inequality, but the question is not to define the range of possibilities for x!
Math Expert
Joined: 02 Sep 2009
Posts: 55618
Re: x/|x|<x. which of the following must be true about x ?  [#permalink]

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13 May 2017, 01:07
1
rohillaabhi wrote:
Question is OK but the answer choices are wrong. If I say x>1 isn't that always true?

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Manager
Joined: 30 Jul 2014
Posts: 121
GPA: 3.72
Re: x/|x|<x. which of the following must be true about x ?  [#permalink]

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17 May 2017, 02:50
Good language trap. Could anyone please more such questions in which the language is convoluted. Thanks Bunuel
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A lot needs to be learned from all of you.
Manager
Joined: 07 Apr 2018
Posts: 107
Location: United States
Concentration: General Management, Marketing
GPA: 3.8
Re: x/|x|<x. which of the following must be true about x ?  [#permalink]

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20 Oct 2018, 06:30
i think option E can be an extension of option A. If X>1, then lxl^2>1.
Manager
Joined: 07 Apr 2018
Posts: 107
Location: United States
Concentration: General Management, Marketing
GPA: 3.8
x/|x|<x. which of the following must be true about x ?  [#permalink]

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20 Oct 2018, 06:38
Please see the solution. it is quite straightforward.
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x/|x|<x. which of the following must be true about x ?   [#permalink] 20 Oct 2018, 06:38

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