Originally Posted by
cub Hi, i'm having a bit of trouble with a couple of problems:
1. Define the relation ~ on R^2 by (x1,y1)~(x2,y2)<=>2(y1-y2)=(x1-x2). Show that ~ is an equivalence relation and describe geometrically the equivalence classes.
2. let ~ be an equivalence relation on Z such n~n+5 and n~n+8. prove that n~m for all n,m in Z.