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Show that the relation R on the set A={1...

Show that the relation `R` on the set `A={1,\ 2,\ 3}` given by `R={(1,\ 2),\ (2,\ 1)}` is symmetric but neither reflexive nor transitive.

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Verified by Experts

Let `(a,b)epsilonR [ :' (1,2)epsilonR]`
`:.(b,a)epsilonR [ :' (2,1)epsilonR]`
Hence `R` is symmetric.
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Show that the relation R in the set {1,2,3} given by R={(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

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