Data Sufficiency (DS) | Re: Is |x – 3| > |y – 3|?

Is |x – 3| > |y – 3|?

x-3 > -(y-3)
x-3 > -y+3
x+y > 6
or
x-3 > y-3
x-y > 0
x>y

so; if x>y and x+y>6; we can be sure that |x-3| > |y-3|

(1)x > y.
But we don't know whether x+y>6. Not sufficient.


x=2
y=1
1<2

x=5
y=2
2>1


(2)xу is not equal to 0.
We don't know whether x>y or x+y>6. Not sufficient.
Same sample set from 1 can be used;

Together;
We don't know whether x+y>6. Not sufficient.

Same sample set from 1 can be used.

Ans: "E"