If \(x\) and \(y\) are positive integers, is \(x - y > \dfrac{x+y}2 ?\)

[Gmat_mission]

If \(x\) and \(y\) are positive integers, is \(x - y > \dfrac{x+y}2 ?\)

(1) \(y < x\)
(2) \(x < 2y\)

Answer: B

Source: Magoosh