Problem #1 (5 points) For U={1, 2, 3, ..., 10), let A={1, 2, 3, 4, 5), B={1, 2, 4, 8), C={1, 2, 3, 5, 7), and D={2, 4, 6, 8). Determine each of the following. a) (AUB) C b)(B-C)-D c) CD d) BxD Problem #2 For each of the following sets, determine whether 2 is an element of that set or not. a) {x x is an integer > 1; b) {x | x is square of an integer; c) (2, {2}}d) {{2}, {{2}}} e) {{2}, {2, {2}}}