If x and y are positive, is x/y…
We are asked is x/y > 1?
Since x and y are positive we can multiply both sides of our inequality by y to obtain:
Is x > y?
Statement One Alone:
xy > 1
Knowing that the product of xy is greater than 1 does not allow us to determine whether x is greater than y. For example, if x = 2 and y = 1, then x > y, but if x = 1 and y = 2, then x < y. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.
Statement Two Alone:
x – y > 0
We can add y to both sides of the inequality to obtain:
x > y
Statement two is sufficient to answer the question.