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Is |x - y| > |x| - |y|?

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Intern
Intern
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B
Joined: 16 May 2018
Posts: 25
Is |x - y| > |x| - |y|?  [#permalink]

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New post 06 Oct 2018, 13:14
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

62% (01:04) correct 38% (01:21) wrong based on 13 sessions

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Is \(|x - y| > |x| - |y|\) ?

(1) y < x
(2) xy< 0
Intern
Intern
avatar
B
Joined: 15 Jan 2014
Posts: 33
Location: India
Concentration: Technology, Strategy
Schools: Haas '19
GMAT 1: 650 Q49 V30
GPA: 2.5
WE: Information Technology (Consulting)
Re: Is |x - y| > |x| - |y|?  [#permalink]

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New post 06 Oct 2018, 15:04
Plugin values for x and y

St 1 : Plug \(x = 2 , y=1 ; x=-2,y=-5\) and \(x=5 ,y=-5\) in question stem

for First 2 set of values we will get NO but for last will get YES .So Not sufficient.

St2 :\(xy< 0\) so either x or y is -ve

using \(x=5 ,y=-5\) ,we will get definite yes . So Sufficient
Answer B

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Joined: 02 Sep 2009
Posts: 56244
Re: Is |x - y| > |x| - |y|?  [#permalink]

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New post 07 Oct 2018, 03:12
GMAT Club Bot
Re: Is |x - y| > |x| - |y|?   [#permalink] 07 Oct 2018, 03:12
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