Data Sufficiency

Is |x-y| > |x| -|y|?

(1) y<x

(2) xy<0

Please explanation

Ans is B

(a) y< x means that y & can both be +ve or y can be negative and x can be positive.

y=2 and x =3 then LHS = RHS
y=-2 and x=3 then LHS > RHS

so insufficient

(b) we know that out of x and y one is negative and the other positive, this means that LHS will always add up while the RHS will always be less that x. so sufficient

You are right. The answer is B. Thanks