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# If x is not equal to 0, is |x| less than 1? (1) x/|x| < x

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Manager
Joined: 02 Jan 2008
Posts: 159
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Kudos [?]: 69 [0], given: 0

If x is not equal to 0, is |x| less than 1? (1) x/|x| < x [#permalink]  18 Feb 2008, 09:57
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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If x is not equal to 0, is |x| less than 1?

(1) x/|x| < x

(2) |x| > x

--

nevermind - I got what I was doing wrong after combining the a,b results
VP
Joined: 22 Oct 2006
Posts: 1443
Schools: Chicago Booth '11
Followers: 8

Kudos [?]: 154 [0], given: 12

Re: DS: Abs Value/inequality [#permalink]  18 Feb 2008, 12:53
A

X/ abs(X) < X

this tells you that X = -1

since a number divded by itself is 1 but in order for a number divided by itself to be less than 1, one of the terms has to be negative.

since the bottom term can't be negative (abs value) X = -1

SUFF

statement 2

2) |x| > x

this tells me that X is negative but nothing more

INSUFF
Senior Manager
Joined: 06 Jul 2006
Posts: 295
Location: SFO Bay Area
Schools: Berkeley Haas
Followers: 2

Kudos [?]: 35 [0], given: 0

Re: DS: Abs Value/inequality [#permalink]  19 Feb 2008, 01:02
terp26 wrote:
A

X/ abs(X) < X

this tells you that X = -1

since a number divded by itself is 1 but in order for a number divided by itself to be less than 1, one of the terms has to be negative.

since the bottom term can't be negative (abs value) X = -1

SUFF

statement 2

2) |x| > x

this tells me that X is negative but nothing more

INSUFF

If X is -1, then you are saying that -1 < -1 as per St1 ...???

St2 says x is -ve. Hence Not suff...

I would mark it E.

Whats the OA ?
VP
Joined: 22 Oct 2006
Posts: 1443
Schools: Chicago Booth '11
Followers: 8

Kudos [?]: 154 [0], given: 12

Re: DS: Abs Value/inequality [#permalink]  19 Feb 2008, 06:26
oh good point, confused the inequality
Manager
Joined: 02 Jan 2008
Posts: 159
Followers: 2

Kudos [?]: 69 [0], given: 0

Re: DS: Abs Value/inequality [#permalink]  19 Feb 2008, 06:51
OA is C.

By combining A and B , you should get the range of x between -1 and 0 (sufficient for -1<x<1 or |X|<1).
Re: DS: Abs Value/inequality   [#permalink] 19 Feb 2008, 06:51
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