Question

Relation $S=\left\{\right(1,2),(2,1),(2,3\left)\right\}$ defined on the set $\{1,2,3\}$ is

• A. not transitive
• B. symmetric
• C. reflexive
• D. equivalence

Answer 1

The correct option is A not transitive

Relation $S$ is not reflexive as elements $(1,1),(2,2),(3,3)$ are not present in $S$.

Relation $S$ is not symmetric as element $(3,2)$ is not present in $S$.

Relation $S$ is not transitive as elements $(1,2),(2,3)$ are present but element $(1,3)$ is not present in $S$.

So, Relation $S$ is not equivalence.