Problem 2: Set theory a) Given any set A, is A E P(A) where P(A) denotes the power set of A? Let B be another set. Is it true in general that AUBEP(A) UP(B)? Give a brief (not necessarily formal) argument to support your answer. b) Write down the cardinality of the following sets: @ (the empty set), {1, 2}, {{1,2} }