Absolute value - Gprep1

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Absolute value - Gprep1

by beater » Thu Apr 02, 2009 1:37 pm
Is |x-y| > |x| - |y|?

1. y<x
2. xy<0

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by cramya » Thu Apr 02, 2009 1:50 pm
Just pick numbers (or use number line analogy)with these cases:

case1: x-> positive y->positive
case 2: x->positive y->negative

case 3: x->negative y->negative
case 4: x->negative y->positive

See if u can prove insufficiency. usually case 1 and case 2 would tell u the same thing as case 3 and case 4

Stmt I

y<x

y=2 x=3

|x-y| > |x|- |y| -> no

y= -2 x=3

|x-y| > |x|- |y| -> yes

INSUFF

Stmt II
xy <0

x-> positive y->negative or x->negative and y positive


Always |x-y| > |x| - |y|

SUFF

Choose [spoiler]B[/spoiler]