I am having a very hard time understanding how to tell whether relations are

reflexive, symmetric, and transitive.

reflexive x = y

symmetric x = y and y = x

transitive x = y and y = z

I just dont know how to go about working the problems. Here are the problems.

Determine which of the reflexive, symmetric, and transitive properties are satisified by the given relation R defined on se S, and stat whether R is an equivalence relation on S.

S = {1,2,3,4,5,6,7,8} and x R y means that x - y = 0.

S = {1,2,3,4,5,6,7,8} and x R y means that x > y

If someone can help me work thru the first one I can probably figure out the second one.