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# Is |x -y| > |x| + |y|? (1) y < x If I plug in numbers

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Manager
Joined: 01 May 2009
Posts: 105
Is |x -y| > |x| + |y|? (1) y < x If I plug in numbers [#permalink]

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19 Jul 2009, 05:35
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Is |x -y| > |x| + |y|?

(1) y < x

If I plug in numbers

y=-3; x=-2
y=1 ; x=2
y=-1; x=2

in the first two cases, |x -y| < |x| + |y|
in the third case |x -y| = |x| + |y|

overall it implies |x -y| <= |x| + |y|, which is a NO to whether |x -y|> |x| + |y|

Guys, is this case 'sufficient' or 'not sufficient'?
CEO
Joined: 17 Nov 2007
Posts: 3583
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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19 Jul 2009, 05:48
Any condition will be sufficient.

|x -y| > |x| + |y| is always false regardless x and y. So, we always know answer.
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Re: Inequality confusion   [#permalink] 19 Jul 2009, 05:48
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