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  4. 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

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Q. 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 $SoR$

Relations and Functions - Part 2

Solution:

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