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# ¦x-2¦+¦x+2¦<4? 1) x<0 2) -2<x<2

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Director
Joined: 29 Aug 2005
Posts: 808
¦x-2¦+¦x+2¦<4? 1) x<0 2) -2<x<2  [#permalink]

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17 Nov 2008, 09:08
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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Someone asked me this DS, I couldn't solve.
¦x-2¦+¦x+2¦<4?
1) x<0
2) -2<x<2

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Current Student
Joined: 28 Dec 2004
Posts: 3280
Location: New York City
Schools: Wharton'11 HBS'12

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17 Nov 2008, 09:21
botirvoy wrote:
Someone asked me this DS, I couldn't solve.
¦x-2¦+¦x+2¦<4?
1) x<0
2) -2<x<2

plug in values if x=-1

|-3|+|1|=4

if x=-2

|-4|+|0|=4

if x=-3

|-5|+|-1|=6

its always greater than 4..

so A it is
CEO
Joined: 17 Nov 2007
Posts: 3484
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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17 Nov 2008, 09:26
Why not D? I think |x-2|+|x+2|<4 is always false for any x.
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Intern
Joined: 03 Oct 2008
Posts: 17

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17 Nov 2008, 09:39
while chkn the possible values in st 2..

what if x is 0..

the eqn becomes 4 < 4 ?
CEO
Joined: 17 Nov 2007
Posts: 3484
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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17 Nov 2008, 09:53
bindrakaran001 wrote:
while chkn the possible values in st 2..

what if x is 0..

the eqn becomes 4 < 4 ?

under statement 2 |x-2|+|x+2| always equals 4.
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VP
Joined: 17 Jun 2008
Posts: 1474

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17 Nov 2008, 10:00
For x < -2, the inequality gives the result as x > -2.....not possible.
For -2 < x < 2, the inequality gives the result as 4 < 4....not possible.
Forx > 2, the iniequality gives the result as x < 2....not possible.

Thus, for any value of x, the given inequality is not possible and hence, answer will be D.
Director
Joined: 27 Jun 2008
Posts: 505
WE 1: Investment Banking - 6yrs

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17 Nov 2008, 10:50
bindrakaran001 wrote:
while chkn the possible values in st 2..

what if x is 0..

the eqn becomes 4 < 4 ?

Precisely. The question doesnt mention ¦x-2¦+¦x+2¦<=4?, its only mentions ¦x-2¦+¦x+2¦<4?
So, why D? you dont have a definitive answer.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: DS: inequality &nbs [#permalink] 17 Nov 2008, 10:50
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