For each of the following relations circle which of the following properties are satisfied and explain why: reflexive, symmetric, transitive, and anti-symmetric (a) The subset relation on sets

(b) The relation over the real numbers.

(c) The relation NN over N (the natural numbers.)

(d) The relation {(1,1), (1,2), (1,3), (2,2), (2,3), (3,3)} over the set {1,2,3}