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Is ׀ x – y ׀ > ׀ x – z ׀ ? supply not known

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Is ׀ x – y ׀ > ׀ x – z ׀ ? supply not known

by sanju09 » Mon Sep 13, 2010 4:14 am
Is ×€ x - y ×€ > ×€ x - z ×€ ?

(1) ×€ y ×€ > ×€ z ×€ .

(2) x < 0.



supply not known
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Source: — Data Sufficiency |
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by kvcpk » Mon Sep 13, 2010 5:54 am
sanju09 wrote:Is ×€ x - y ×€ > ×€ x - z ×€ ?

(1) ×€ y ×€ > ×€ z ×€ .

(2) x < 0.



supply not known
(1) ×€ y ×€ > ×€ z ×€ .
Let x=1,y=1,z=2
1-1<|1-2|
0<1
TRUE
Let x=10,y=1,z=2
10-1<|10-2|
9<8
FALSE
INSUFF

(2) x < 0.
No info about y and z. INSUFF

Combining:
Let x=-1,y=1,z=2
|-1-1|<|-1-2|
2<3
TRUE
Let x=-10,y=-1,z=-2
|-10+1|<|-10+2|
9<8
False
INSUFF

pick E.
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