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If A = {1,2,3,…,9} and R is the relation...

If A = {1,2,3,…,9} and R is the relation in A `xx` A defined by (a, b) R (c, d), if `a+d=b+c` for (a, b), (c, d) in `A xx A`. Prove that R is an equivalence relation.

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