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24 Jun 2006, 10:50
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Is |x-y| > |x|-|y| ?
1. y<x
2. xy<0
Please explain your answers
1. y<x
2. xy<0
Please explain your answers
--== Message from the GMAT Club Team ==--
THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.
If you would like to discuss this question please re-post it in the respective forum. Thank you!
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THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.
If you would like to discuss this question please re-post it in the respective forum. Thank you!
To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
24 Jun 2006, 11:07
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Is |x-y| > |x|-|y| ?
1. y<x
If X = 3 and Y = 2 then no
if x = -5 and y = -9 then yes
insuff
2. xy<0
Means x or y must be negative but not both.
If x = -5 and y = 3 8 > 2 so yes
if x = 6 and y = -2 then 10 > 4 so yes
if x = 1 and y = -1 then 2 > 0 so yes
if x = 1/2 and y = -10 then 10.5 > -9.5 yes
Looks suff so B
1. y<x
If X = 3 and Y = 2 then no
if x = -5 and y = -9 then yes
insuff
2. xy<0
Means x or y must be negative but not both.
If x = -5 and y = 3 8 > 2 so yes
if x = 6 and y = -2 then 10 > 4 so yes
if x = 1 and y = -1 then 2 > 0 so yes
if x = 1/2 and y = -10 then 10.5 > -9.5 yes
Looks suff so B
24 Jun 2006, 11:10
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B.
#1) y < x
a) x=5;y=1 => |x-y|=|x|-|y|;Hence no.
b) x=1;y=-5 => |x-y|>|x|-|y|;Hence yes.
Means insufficient.
#2) xy<0
a) x=-1;y=5 => |x-y|>|x|-|y|;Hence yes.
b) x=1;y=-5 => |x-y|>|x|-|y|;Hence yes.
Sufficient.
#1) y < x
a) x=5;y=1 => |x-y|=|x|-|y|;Hence no.
b) x=1;y=-5 => |x-y|>|x|-|y|;Hence yes.
Means insufficient.
#2) xy<0
a) x=-1;y=5 => |x-y|>|x|-|y|;Hence yes.
b) x=1;y=-5 => |x-y|>|x|-|y|;Hence yes.
Sufficient.
