Let $R$ be the relation on $Z$ such that $xRy \iff x-y=c$.
Well, what I have so far is $R=\{ 0,-1,1,0,-1,1,0 \cdots\}$
- Is $R^* $ and equivalence relation? Why not?
This is where problems start: I don't know what the definition of $R^* $. In fact, I cannot seem to find anything related to this in my notes. First off, is my relation $R$ correct at this point?
Your relation is not correct. A relation is defined to be a set of ordered pairs where the ordered pair (x,y) is included if xRy.