For each of these relations on the set {1,2,3,4}, decide whether it is reexive, whether it is symmetric, whether it is anti-symmetric, and whether it is transitive. (FYI: Just because it is symmetric doesnt mean it is not antisymmetric, vice versa).

(a) {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)}

(b) {(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)}

(c) {(2,4),(4,2)} (d) {(1,2),(2,3),(3,4)}