Is |x-y| > |x| -|y|?
(1) y<x
(2) xy<0
Please explanation
GMATprep question
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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
(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