Determine whether these statements are true or false. a) E 0 b) 0C0 c) CO d) {0} {0} e) {0} {0, {0}} f) {{0}} C{{0}, {0}} 2. 3 points each Determine the cardinality of the following sets a) 0 b) {U} e) {a, {b},a, d) {0, {0}, {0, {0}}} 3. 6 points each State whether the following is True of False and explaining your reasoning for full credit: a) The cardinality of every set is always less than the cardinality of its powerset. b) The Cartesian product of two sets is the null set if and only if both sets are also the null set. c) Given 3 sets A, B, and C, JAUBUC=|A|+|B|+ |C| |An B|- |AnC-|Bnc| 4. 4 points each Let A = {a,b,c,d,e}, B = {a,b,c,d,e,f.g.h}, and U represents a Universal Set of {a,b,c,d,e,f.g,h,i.j,k,1}. Find: a) AUBU0 b) UNBNA c) A- B d) - c) A x B f) Bx A g) A h) P(A) 5. 10 points each Prove or disprove the following statements, for all sets A,B and C. a) AUB = AnB b) AU(BUA) = A