Is |x - z| > |x - y|?
(1) |z| > |y|
(2) 0 > x
Question: what is the fastest way to solve?
See attached for "proposed solution".
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DS - absolute value
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thephoenix
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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
if result vary than its inconlusive
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eaakbari
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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
