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Is x > 1? (1) x(|x| − 1) > 0 (2) |x| > 1

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 61549
Is x > 1? (1) x(|x| − 1) > 0 (2) |x| > 1  [#permalink]

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New post 08 Dec 2019, 23:31
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A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

43% (01:36) correct 57% (01:46) wrong based on 68 sessions

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Math Expert
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V
Joined: 02 Aug 2009
Posts: 8254
Re: Is x > 1? (1) x(|x| − 1) > 0 (2) |x| > 1  [#permalink]

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New post 09 Dec 2019, 08:31
Is \(x > 1\)?

(1) \(x(|x| − 1) > 0\)
If x>0, then |x|-1>0....that is x>1
If x<0, then |x|-1<0....that is |x|<1 or -1<x<1 or -1<x<0 as x<0
Insufficient

(2) \(|x| > 1\)
x>1 or x<-1

Combined
X cannot be <-1 as seen from statement I, so x>1
Sufficient

C
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Joined: 24 Nov 2019
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Re: Is x > 1? (1) x(|x| − 1) > 0 (2) |x| > 1  [#permalink]

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New post 19 Dec 2019, 10:20
1
chetan2u wrote:
Is \(x > 1\)?

(1) \(x(|x| − 1) > 0\)
If x>0, then |x|-1>0....that is x>1
If x<0, then |x|-1<0....that is |x|<1 or -1<x<1 or -1<x<0 as x<0
Insufficient

(2) \(|x| > 1\)
x>1 or x<-1

Combined
X cannot be <-1 as seen from statement I, so x>1
Sufficient

C


In (1): If x>0, then |x|-1>0....that is x>1 ? ,
How did u come to this conclusion that |x|-1>0?
GMAT Club Bot
Re: Is x > 1? (1) x(|x| − 1) > 0 (2) |x| > 1   [#permalink] 19 Dec 2019, 10:20
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Is x > 1? (1) x(|x| − 1) > 0 (2) |x| > 1

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