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Let A={1,2,3,...,9) and R be the relatio...

Let A={1,2,3,...,9) and R be the relation on 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 and also obtain the equivalence class (2,5).

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