If \(x\) and \(y\) are positive integers, is \(x\) a prime number?

[Gmat_mission]

If \(x\) and \(y\) are positive integers, is \(x\) a prime number?

(1) \(|x-2|<2-y.\)

(2) \(x+y-3=|1-y|\)

Answer: D

Source: GMAT Club Tests