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