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Let A={1,2,3,4} and R be a relation in A...

Let `A={1,2,3,4}` and `R` be a relation in A given by `R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,1),(1,3)}`. Then show that `R` is reflexive and symmetric but not transitive.

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