push12345 wrote:

If x & y are integers with y>0, is x positive ?

i) |x|-y=0

ii)|x-y|>|x+y|

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1) |X|-y=0...

|X|=y....

Since y>0, X can be y or -y hence either positive or negative but not 0

Insufficient

2) |x-y|>|x+y|

Now the equation should tell us that ..

subtraction will result in a higher value only if both the variables are opposite in SIGNSo x and y are opposite in sign ....

But y>0, so X<0...... sufficient

OR

Square both sides as both sides are positive..

\(x^2+y^2-2xy>x^2+y^2+2xy...........-2xy>2xy\)

2y>0, so -x>x....only possible if x <0

Sufficient

B

_________________

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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