Question 1 -Let A, B and C denote the subsets of a set S and let C' denote a complement of C in S. "If An C=Bo C and An C' = Bn C', then prove that A=B Question 2 By referring to the properties of set operations, show that: set difference A - (An B) = A -B A- B = AnB' Question 3 Let A, B and C be sets such that AnB = An Cand AUB = AUC Prove that B = C Question 4 Let A, B and C be sets. Show that (AU(BAC))'= A'n( B'UC' )