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Give an example of a relation which is s...

Give an example of a relation which is symmetric but neither reflexive nor transitive.

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Let `A=\{5,6,7\}`.

Define a relation `R` on `A` as `R=\{(5,6),(6,5)\}`.

Relation `R` is not reflexive as `(5,5),(6,6),(7,7) \notin R`.

Now, as `(5,6) \in R` and also `(6,5) \in R, R` is symmetric.

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