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Is x - y positive ? (1) x > y (2) y - x is negative

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Manager
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Is x - y positive ? (1) x > y (2) y - x is negative [#permalink] New post 28 Mar 2007, 11:43
3. Is x - y positive ?

(1) x > y
(2) y - x is negative


explain please
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 [#permalink] New post 28 Mar 2007, 12:10
(D) for me :)

x - y > 0 ?

From 1
x > y
<=> x - y > 0

SUFF.

From 2
y - x < 0
<=> (-1)*(y-x) > (-1)*0 >>> When we mutliply by a negative number, we flip the sign of a inequation
<=> x-y > 0

SUFF.
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 [#permalink] New post 28 Mar 2007, 15:01
Statement 1 - if x > y :
No matter what are the signs of x and y, if x> y, x-y will always be positive.
so SUFF

Statement 2 - if y-x <0
No matter what are the signs of x and y, if y-x <0, x-y will always be positive.
so SUFF
Answer 'D'
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 [#permalink] New post 29 Mar 2007, 06:37
that's it D. nice guys/:)
  [#permalink] 29 Mar 2007, 06:37
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