To include \(-2\) but exclude \(-3\), the integer lower boundary must be \(-3\). To include \(2\) but exclude \(3\), the integer upper boundary must be \(3\).

The decimal boundaries \(-2.5\) and \(2.5\) also enclose exactly the same five integers. Thus the integer condition is essential for uniqueness.

Answer

For integer boundaries, \(a=-3\) and \(b=3\). Without that restriction they are not unique; for example, \(a=-2.5,b=2.5\) gives the same integer list.