Question

If $R$ is a relation from a set $A$ to the set $B$ and $S$ is a relation from $B$ to $C,$ then the relation $SoR$

• A. is from $C$ to $A$
• B. does not exist
• C. is from $A$ to $C$
• D. None of these

Answer 1

Answer: (C)

is from $A$ to $C$

Since $R\subseteq A\times B$ and $S\subseteq B\times C$, we have
So $R\subseteq A\times C$.
$\therefore$ So R is a relation from $A$ to $C.$