Given a relation $R=\{(1,6),(2,7),(3,8)\}$.
It is clear that it is not reflexive and symmetric but can we say that it is transitive?
Given a relation $R=\{(1,6),(2,7),(3,8)\}$.
It is clear that it is not reflexive and symmetric but can we say that it is transitive?
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It's transitive, for there is no $y$ such that $(x,y)$ and $(y,z)$ are elements of $R$. Therefore, if $(x,y),(y,z) \in R$, then so is $(x,z)$.