Prove or disprove: If $A$ and $B$ are denumerable, then $A - B$ is denumerable Prove or disprove: If $A$ and $B$ are denumerable, then $A - B$ is denumerable Can someone give me a hint as to how to prove/disprove thi...--prophetes.ai

Prove or disprove: If $A$ and $B$ are denumerable, then $A - B$ is denumerable Prove or disprove: If $A$ and $B$ are denumerable, then $A - B$ is denumerable Can someone give me a hint as to how to prove/disprove this? My instinct tells me that the claim is true. But I'm stumped as to how to go about proving it.

As A-B is a subset of A, A-B is denumerable.