Bunuel wrote:

Is xy < 0?

(1) xy is not a positive integer.

(2) xy is not a negative integer.

Hi..

Few points to remember while dealing with numbers and variable..

1) a variable can be any of the three - positive, negative and ZERO..

2) a variable can be integer or non integer unless specifiedNow let's see the statements..

(1) xy is not a positive integer.

xy can be positive non integer OR negative number OR 0..

So answer can be YES if negative number otherwise NO..

Insufficient

(2) xy is not a negative integer

xy can be negative non integer OR positive number OR 0..

So answer can be YES if negative non integer otherwise NO..

Insufficient

Combined..

It can be positive noninteger or negative noninteger or 0..

Insufficient

E

_________________

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

GMAT online Tutor