For an integer greater than \(1, n!\) denotes the product of all the numbers from \(1\) to \(n,\) inclusive. If \(x\) and \(y\) are positive integers is \(x! > y!?\)
(1) \(|x| < a\) and \(|y| < b\) where \(a < b\)
(2) When represented on the number line, \(x\) is equidistant from \(5\) and \(y.\)
Answer: E
Source: e-GMAT