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

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Manager
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Is |x -z| > |x-y| 1) |z| > |y| 2) 0 > x Why OA is [#permalink]

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New post 27 Aug 2008, 20:31
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A
B
C
D
E

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Is |x -z| > |x-y|
1) |z| > |y|
2) 0 > x

Why OA is not C ?

Kudos [?]: 84 [0], given: 0

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Joined: 07 Nov 2007
Posts: 1795

Kudos [?]: 1032 [0], given: 5

Location: New York
Re: In-equality - DS [#permalink]

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New post 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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Kudos [?]: 1032 [0], given: 5

Manager
Manager
avatar
Joined: 04 Jun 2008
Posts: 155

Kudos [?]: 84 [0], given: 0

Re: In-equality - DS [#permalink]

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New post 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|

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)


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.

Kudos [?]: 84 [0], given: 0

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