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jose.mario.amaya
- Junior | Next Rank: 30 Posts
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- Joined: Thu Nov 29, 2012 10:20 am
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Statement 1: a < bIs 1/(a - b) < b - a ?
(1) a < b
(2) 1 < |a - b|
Thus, a-b<0, implying that b-a>0.
Is 1/(negative) < positive?
YES.
SUFFICIENT.
Statement 2: 1 < |a - b|
It's possible that a-b = 2, implying that b-a = -2.
Plugging a-b=2 and b-a=-2 into 1/(a-b) < b-a, we get:
1/2 < -2?
NO.
It's possible that a-b = -2, implying that b-a = 2.
Plugging a-b=-2 and b-a=2 into 1/(a-b) < b-a, we get:
1/-2 < 2?
YES.
Since in the first case the answer is NO but in the second case the answer is YES, INSUFFICIENT.
The correct answer is A.
