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# Is |x -z| > |x-y| 1) |z| > |y| 2) 0 > x Why OA is

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Manager
Joined: 04 Jun 2008
Posts: 141
Is |x -z| > |x-y| 1) |z| > |y| 2) 0 > x Why OA is  [#permalink]

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27 Aug 2008, 20:31
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Is |x -z| > |x-y|
1) |z| > |y|
2) 0 > x

Why OA is not C ?

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SVP
Joined: 07 Nov 2007
Posts: 1728
Location: New York
Re: In-equality - DS  [#permalink]

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27 Aug 2008, 21:11
chan4312 wrote:
Is |x -z| > |x-y|
1) |z| > |y|
2) 0 > x

Why OA is not C ?

1)

|z|>|y|

z can be +ve or -ve and y can be -ve or +ve..
visualize z and y are distance from 0 +ve co-ordinate and -ve co-ordinate.

----------z---y-----0------y-----z--
_________.___._____._____._____._____

say x is -ve

----x------z---y-----0------y-----z--
____._____.___._____._____._____._____

whe x is -ve and z and y are -ve |x-z|<|y-z|

when x is -ve an z and y are +ve |x-z|>|y-z|

insuffcient

2) 0 > x

we know the x is -ve.. we don't know about z and y values..
insufficient

combine..

insuffcient. when x is negative.. two solutions..(see above highlighted in blue)
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Manager
Joined: 04 Jun 2008
Posts: 141
Re: In-equality - DS  [#permalink]

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27 Aug 2008, 21:17
x2suresh wrote:
chan4312 wrote:
Is |x -z| > |x-y|
1) |z| > |y|
2) 0 > x

Why OA is not C ?

1)

|z|>|y|

z can be +ve or -ve and y can be -ve or +ve..
visualize z and y are distance from 0 +ve co-ordinate and -ve co-ordinate.

----------z---y-----0------y-----z--
_________.___._____._____._____._____

say x is -ve

----x------z---y-----0------y-----z--
____._____.___._____._____._____._____

whe x is -ve and z and y are -ve |x-z||y-z|
insuffcient

2) 0 > x

we know the x is -ve.. we don't know about z and y values..
insufficient

combine..

insuffcient. when x is negative.. two solutions..(see above highlighted in blue)

oohhoo
got it...
I was not checking a -ve z...and a positive y. like z=-13 , y =2 and x=-13

OA is E
Thanks suresh.

--== 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!

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Re: In-equality - DS &nbs [#permalink] 27 Aug 2008, 21:17
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