State the reason for the relation R on the set


State the reason for the relation R on the set {1, 2, 3} given by R = {(1, 2), (2, 1)} to be transitive.


Since $(1,2) \in R,(2,1) \in R$ but $(1,1) \notin R, R$ is not transitive on the set $\{1,2,3\}$.

For $R$ to be in a transitive relation, we must have $(1,1) \in R$.

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