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[" 5) Let "A={1,2,3,...,9}" and "],[" R ...

[" 5) Let "A={1,2,3,...,9}" and "],[" R be ehe relaluri in AxA defined "],[" by "(a,b)R(c,d)" if "a+d=b+c],[" for "(a,b),(c,d)" in "A times A" .Prove "],[" that "R" is an equivalemes relation."]

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Let A={1,2,3,......,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 AxA. Prove that R is an equivalence relation.Also obtain the equivalence class [(2,5)].

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