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

Author Message
TAGS:
Manager
Joined: 02 Jan 2008
Posts: 159
Followers: 2

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
00:00

Difficulty:

(N/A)

Question Stats:

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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If x is not equal to 0, is |x| less than 1? (1) x/|x| < x 3 10 Sep 2009, 03:56
If x is not equal to 0, is |x| less than 1? (1) x/|x| < x 1 22 Sep 2008, 00:47
If x is not equal to 0, is |x| less than 1? (1) x/|x| 2 23 Jul 2007, 10:00
If x is not equal to 0, is |x| less than 1? (1) x/|x| 1 09 Jun 2007, 19:21
If x is not equal to 0, is |x| less than 1? (1) x/|x| < x 5 05 Feb 2006, 21:00
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Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 24 Apr 2015, 20:20

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# Events & Promotions

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

Author Message
TAGS:
Manager
Joined: 02 Jan 2008
Posts: 159
Followers: 2

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
00:00

Difficulty:

(N/A)

Question Stats:

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
Similar topics Replies Last post
Similar
Topics:
If x is not equal to 0, is |x| less than 1? (1) x/|x| < x 3 10 Sep 2009, 03:56
If x is not equal to 0, is |x| less than 1? (1) x/|x| < x 1 22 Sep 2008, 00:47
If x is not equal to 0, is |x| less than 1? (1) x/|x| 2 23 Jul 2007, 10:00
If x is not equal to 0, is |x| less than 1? (1) x/|x| 1 09 Jun 2007, 19:21
If x is not equal to 0, is |x| less than 1? (1) x/|x| < x 5 05 Feb 2006, 21:00
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