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saurabhbanerjeeiimk

Post subject: Fourth Edition, Guide 3 Inequalities, pg 101, Q9 Posted: Fri Feb 24, 2012 5:21 am 


Forum Guests 

Posts: 27

The questions reads as " If a2b >1 and b<2, which of the following could be the value of a?
A 1/2 B 1/4 C 1/2 D 2 E 2/3
I went through the explanation and it reads that "1 divided by a positive number less than 2 is greater than 1/2"
Can we take this as a general rule?
Example
1/LT3 = GT 1/3 Similarly 1/LT13 = GT 1/13





zdgura

Post subject: Re: Fourth Edition, Guide 3 Inequalities, pg 101, Q9 Posted: Fri Feb 24, 2012 4:55 pm 


Course Students 

Posts: 5

This seems to be echoing the rule that as we decrease denominators proper fraction increase. So I would say so. Take your example 1/13 less than 1/12, 1/11 and so forth....





NMencia09

Post subject: Re: Fourth Edition, Guide 3 Inequalities, pg 101, Q9 Posted: Fri Feb 24, 2012 8:18 pm 


Course Students 

Posts: 36

Yes this is a general rule as long as the denominator is positive.
If the numerator stays the same and the denominator decreases to a smaller positive number, then the value of the fraction will increase.
a=2, b=3
a/b: If you decrease b, the fraction increases as long as b is positive. If b turns negative, then the more negative it gets, the larger it gets, assuming b is an integer.
a=2, b= 1 vs. a=2, b= 3 a/b = 2 a/b = 2/3 ===> 2/3 > 2
Here, the fraction increases as b gets smaller.





jnelson0612

Post subject: Re: Fourth Edition, Guide 3 Inequalities, pg 101, Q9 Posted: Fri Mar 02, 2012 11:56 pm 


ManhattanGMAT Staff 

Posts: 2636

Great answersthanks for your help!
_________________ Jamie Nelson ManhattanGMAT Instructor





