das.ashmita wrote:is |x-z|>|x-y|?
1. |z|>|y|
2. 0>x
OA E
|a-b| = the DISTANCE between a and b.
|a| = the distance between a and 0.
Question rephrased: Is x farther from z than from y?
Statement 1: |z| > |y|
Thus, z is farther from 0 than is y.
No information about x.
INSUFFICIENT.
Statement 2: 0>x
Thus, x is to the LEFT of 0.
No information about y and z.
INSUFFICIENT.
Statement 1 and 2 combined:
It's possible that z=-100, y=1, and x=-99.
In this case, x is closer to z.
It's possible that z=-100, y=1, and x=-1.
In this case, x is closer to y.
Thus, it cannot be determined whether x is farther from z than from y.
INSUFFICIENT.
The correct answer is
E.
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