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

Give an example of a relation which is reflexive and symmetric but not transitive.

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Let `A=\{4,6,8\}`.

Define a relation `R` on `A` as:

`A=\{(4,4),(6,6),(8,8),(4,6),(6,4),(6,8),(8,6)\}`

Relation `R` is reflexive since for every a `\in A,(a, a) \in R i.e., (4,4),(6,6),(8,8)\} \in R.`

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