(4) For each of the following relations, determine all of the properties which it satisfies in the following list: reflexive, symmetric, transitive, antisymmetric, weakly antisym- metric. You should justify why it satisfies a property or not. (a) X = {a, b, c} and R = {(a, b), (b, a), (c, a), (a, c) }. (b) X = {a, b, c} and R = {(a, a), (b, b), (c, c), (a, c), (c, a) }. (c) X = Z and R = {(x, y) EZx Z: |x - yl