Are x and y both positive?
1) 2x - 2y = 1
2) x/y > 1
OA to follow.
I get C.
1) can be written as 2(x-y)=1
(x-y)=1/2 clearly insuff we dont know if x or y is positive or negative
2) x/y> 1 again insuff either both are positive or negative but they have the same sign..for sure..
we know that x and y have the same sign..then (x-y)=1/2 which means means that for x to be negative y has to be negative..
lets pick a value..x=-2 or some value then y has to be fraction..if y is a fraction then its magnitude has to be greater than x..cant be possible..and x/y has to be greater than 1..
its clear that x and y are both positive..sufficient