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Thanks a lot... :-)

Thanks fopc! but what is the use of condition x1+y1 = x2+y2 ?

Thanks for your reply John. Ya sure. If I have got your question correctly. I have done this. Let S be a nonempty set of integers and let equality = be our relation. Then = is an equivalence relation on S since (i) a = a for all a S, (ii) if a = b, then b = a (for all a,b), (iii) if a = b and...

Hi, 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...