GMATinsight wrote:

Is a > b ?

(1) |a|/|b| > 1

(2) |a - b| < |a|

Source:

http://www.GMATinsight.com(1) \(\frac{|a|}{|b|} > 1\).......

It tells us that the numeric value of a is MORE than that of b..

so if a is -ive .... ans is NO as a<b

if a is +ive..... ans is YES as a>b

insuff

(2) |a - b| < |a|

square both sides

\(a^2-2ab+b^2<a^2....................b(b-2a)<0\)

so both b and b-2a are of OPPOSITE sign

if b>0, b-2a<0 or b<2a, so a>0

if b<0, b-2a>0 or b>2a, so a<0

so nothing much except BOTH are of same sign

insuff

combined

both are positive a>b... yes

both are -ive, a<b... no

insuff

E

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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