ChandlerBong
Is x > z ?
(1) x > 0
(2) z > 0
Question: x > z ?
Inference: Does x lie to the right of z on a number line?
Statement 1 (1) x > 0 x lies to the right of zero. However, we do not have any information on the position of z. The statement alone is not sufficient to conclusively determine the position of x and z.
Eliminate A and D.
Statement 2 (2) z > 0 z lies to the right of zero. However, we do not have any information on the position of x. The statement alone is not sufficient to conclusively determine the position of x and z.
Eliminate B.
CombinedThe statements combined are not sufficient either. We can determine that both x and z lie to the right of zero. However, we cannot determine the relative position of x and z.
---------------- 0 ----------- x ---------- z ------------- → Does x lie to the right of z on a number line?
No---------------- 0 ----------- z ---------- x ------------- → Does x lie to the right of z on a number line?
YesOption E