Is it true that if A B are denumerable sets then A B is den

Is it true that if A, B are denumerable sets, then A - B is denumerable?

Solution

A countable set is a set with the same cardinality (number of elements) as some subset of the set of natural numbers. Denumerable set is a synomnym of countable set.

We know that, A - B is a subset of A and A is Denumerable set. So, A-B is also denumerable

Yes, the given statement is TRUE