$R$ and $S$ are relations, prove about $S\setminus R$

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  1. If $R$ and $S$ are reflexive then $S\setminus R$ is reflexive.
  2. If $R$ and $S$ are symmetric then $S\setminus R$ is symmetric.
  3. 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?