Failing \(x\lt 3\) while satisfying \(x\lt 5\) means being at least \(3\) but less than \(5\). Its integer values are \(3,4\).

Any value to the left of \(3\) is also to the left of \(5\), so the first set of allowed values is contained in the second.

Answer

The integers are \(3\) and \(4\). Yes, every number less than \(3\) is also less than \(5\).