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Let A={1,2,3,ddot,9} and R be the relati...

Let `A={1,2,3,ddot,9}` and `R` be the relation in `AxA` defined by `(a ,b)R(c ,d)` if `a+d=b+c` for `(a ,b),(c , d)` in `AxAdot` Prove that `R` is an equivalence relation. Also obtain the equivalence class [(2,5)].

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The correct Answer is:
`"[(2,5)]=[(1,4),(2,5),(3,6),(4,7),(5,8),(6,9)]"`
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