nsider the following statement. For all sets A and B, AC U BC C (A U B)C. e following is a proposed proof for the statement. 1. Suppose A and B are any sets, such that x EAC UBC. 2. Then x E AC or x E BC by definition of union. 3. It follows that x A or x B by definition of complement, and so x AU B by definition of union. 4. Thus x E (A U B)C by definition of complement, and hence AC U BCC (AUB) by definition of subset. entify the error(s) in the proposed proof. (Select all that apply.) The proof does not handle the case when ACB. The proof does not handle the case when BCA. The proof assumes what is to be proved. It is possible for x E AC U BC to be true and x EAC or x E BC to be false. It is possible for x # A or x B to be true and x A U B to be false.