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inequality

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ashish.jere
 Post subject: inequality
 Post Posted: Mon Jul 27, 2009 1:37 pm 
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Students


Posts: 78
is 1/a-b < b-a?

(1) a < b

(2) 1 < |a-b|
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mangipudi
 Post subject: Re: inequality
 Post Posted: Fri Jul 31, 2009 12:45 am 
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Course Students


Posts: 24
(1) a < b

=> a-b < 0 and b-a > 0
=> 1/(a-b) < 0 and b-a > 0
=> 1/(a-b) < b-a

sufficient

2. From this you dont which of a and b is greater .
All you know is that the distance between them is greater than 1.

Insufficient.
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Ben Ku
 Post subject: Re: inequality
 Post Posted: Thu Aug 13, 2009 3:58 pm 
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ManhattanGMAT Staff


Posts: 823
I agree with mangipudi's solution.

Statement (1) helps us know that a - b is negative, while b - a is positive. So

Is 1 / (a-b) < b - a?
Is (Negative) < (Positive)?
The answer is Yes, so (1) is sufficient.

Statement (2) is not sufficient because we still don't know how a - b compares with b - a.

The answer is (A). Hope that helps!

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Ben Ku
Instructor
ManhattanGMAT
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