Data Sufficiency (DS) | Is xy < 0? (1) |x − y| > |x| − |y| (2) x > y

(1) we can try with plugging in values which satisfy this statement. Lets take x=4, y=3 (both +ve and x >y). Here LHS = 1 and RHS = 1. Not true
Now lets take x=3, y=4 (both +ve, x<y). Here LHS = 1, RHS = -1. True, and in this case x*y is positive
Now lets take x=3, y=-3 (one +ve, one -ve). Here LHS = 6, RHS = 0. True, and in this case x*y is negative.
So we cannot determine with surety whether x*y is positive or
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