fastest method for such problems is plugging values only pick the value as per the statements and check the ineq
if result vary than its inconlusive

ughh, I was afraid that was the case. Thanks for the input.

scoowhoop wrote:Is |x - z| > |x - y|?

(1) |z| > |y|
(2) 0 > x

Question: what is the fastest way to solve?

See attached for "proposed solution".

Stem
A mistake would be to consider that we would get the answer is |y|>|z|, because x - z and x - y would be totally different beacuse of sign changes

Statement A
Tells us about magnitude of z and y but we do not know about their signs or the sign of x
Statement 2
Tells us about the sign of x but not about x but not about x and y or the magnitudes


Combined
We still do not know about signs of z and y Hence Insuff

Note: If all the numbers were >0 , then the answer would have been A