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Is it true that every relation which is ...

Is it true that every relation which is symmetric and transitive is also reflexive? Give reasons.

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No, it is not true.

Consider a set `A=\{1,2,3\}` and relation `R` on `A` such that `R=\{(1,2)`, `(2`, `1),(2,3),(1,3)\}`

The relation `R` on `A` is symmetric and transitive. However, it is not reflexive.

`(1,1),(2,2)` and `(3,3) \notin R` ...
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