Problem 1. (10 points) Find the flaw in the following argument: Claim: If a relation R over set A is symmetric and transitive then R is reflexive. "Proof:" Select any element (a, b) E R. Because R is symmetric it follows that (b, a) E R Furthermore, since R is transitive, (a, b) E R (b,a) E R-, (a, a) E R. It follows that R is reflexive