- If $R$ and $S$ are reflexive then $S\setminus R$ is reflexive.
- If $R$ and $S$ are symmetric then $S\setminus R$ is symmetric.
- If $R$ and $S$ are transitive then $S\setminus R$ is transitive.
and I would also like to ask about the empty group, what can we say about it being reflexive, symmetric, transitive?