Hi,

I'm trying to solve

"If R is a relation onZso that aRb if b=a+3 then how manyequivalencerelations, S onZcontainR?"

I had originally thought none, but then found that if S is a=b (mod 3) then this is an equivalence containing R.

So now I don't know where to go next. Is this the only relation? So how do I show that? Can someone point me in the right direction?

Thanks!