Problem Solving

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

(1) y < x
(2) xy < 0

ans = b

caramel3536 wrote:Is |x-y| > |x| - |y|?

(1) y < x
(2) xy < 0

ans = b

|x-y| > |x| - |y| can only be true if the following conditions are met:-
1)Both x and y are positive
2)Both x and y are negative

Statement 1>> x>y, we don't know whether x and y are positive or negative
Statement 2>> Either x or y is negative, with this condition |x-y| will always be equal to less than |x| - |y| (you can plug in values to confirm it), Hence we know from b that this equation will not hold true.