Hi,

If a relation is reflexive, symmetric, and transitive; it would mean that the relation is also an equivalence relation? That's my understanding, if I am wrong please correct me.

Say:

R= {(a,a),(a,b),(a,c),(b,a),(b,b),(b,c),(c,a),(c,b),( c,c),(d,d),(d,e),(e,d),(e,e),(f,f)}

From this relation I believe that "All except (a,a) , (b,b), (c,c), (d,d), (e,e), (f,f) are equivalence relations"...is that correct or no. I'm not catching on to the whole reflexive, symmetric and transitive part.

The only relation I understand 100% is that transitive is a is the mother of b and b is the mother of c, meaning a is the grandmother of c so it is transitive?

Thanks for any help!

Dan