



 
Syed, First off, it looks as if your notation is a bit mangled in the email. I'm assuming you mean for all integers m,n, m D n if and only if 3 divides (m^{2} n^{2}) Is it reflexive? Is it symmetric? Is it transitive? If all of these are true it's an equivalence. Otherwise it's not. You should be able to answer each of these questions on your own. And now you've seen how it's done you should be able to set up problems like this for solution on your own, too. Good Hunting!
 


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