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Here is my question. I need to prove the following an equivalence relation.

Let A = {1,2,3,4,5} X {1.2,3,4,5} and define a relation R on A by (x1,y1)R{ x2,y2) if x1+y1=x2+y2.

I am bit confused how to use the condition x1+y1=x2+y2 to prove for transitive, symmetric and reflexive properties.

Please help.

Thanks

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# Equivalence Relation Problem

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