the answer is (C)statement 1
0 = 0+0 ---> true
consider z=3 y=2 x=1
2 = 1+1 ---> truestatement 2
clearly insufficient ---> no info on yboth statements
since z > x then y has to be in between to balance |z-x|
note that in |z-y|+|y-x| the effect of y is non existence (canceled out)
What if x=0, y=0, z=1?
Yes ! you got me there
I think it is best to think of this problem as a distance concept.
For example, |a - b| means distance from a to b
So, |z-x|=|z-y|+|y-x| can be interpret as:
distance from z to x = distance from z to y + distance from y to x
So (1) is INSUFFICIENT
(2) is obviously INSUFFICIENT, don't know y
Together, it must be true that
However, the problem says nothing about y or x being equal; thus, INSUFFICIENT.