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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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Show that the relation R in the set {1, 2, 3} defined as: (a) R={(1,2),(2,1)} is symmetric, but neither reflexive nor transitive (b) R={(1,1),(2,2),(3,3),(1,2),(2,3)} is reflexive, but neither symmetric nor transitive (c ) R={(1,3),(3,2),(1,2)} is transitive, but neither reflexive nor symmetric.