For all distinct non-zero values of x and y, is x > y?
(1) x - y > -y
(2) 1/x>1/y
Statement 1: adding y to both sides of x - y > -y, gives us x > 0. Tells us nothing about y. Not Sufficient.
Statement 2: pick some easy numbers. If x = 2 and y = 3, we satisfy the condition, because 1/2 > 1/3. And the answer to the question is NO, x is not bigger than y ,as 2 is not greater than 3.
If x = 2 and y = -3, we satisfy the condition, because 1/2 > -(1/3). And the answer to the question is YES, x is bigger than y, as 2 is greater than -3.
Because we can get a NO and a YES, this is not sufficient.
Together, also not sufficient. Both of the scenarios we used in statement 2 involved a positive x, so we can reuse those scenarios when testing the statements together. Because we can get a NO and a YES, together the statements are still not sufficient.
Answer is
E
