Let A (a. b, c). For each of the following, draw a directed graph that represents a relation with the specified properties. (a) A relation on A that is symmetric but not transitive (b) A relation on A that is transitive but not symmetric (c) A relation on A that is symmetric and transitive but not reflexive on A (d) A relation on A that is not reflexive on A, is not symmetric, and is not transitive (e) A relation on A, other than the identity relation, that is an equivalence relation on A