Problem 1. Set Algebra (13 points) Simplify the expressions below using the set identities provided in class. Your simplified expression should have as few operators (U,, complement) as possible. Show each step by applying and labelling the identity used (DeMorgan, idempotent law, etc). Note that U represents the universal set which contains all elements. You should be able to simplify each expression to one set variable and possibly a complement operator. (a) [8pts.]((YX)(YXC))C (b) [5 pts.] ((XCY)XC)(UYC) Solution