QUESTIONS: (provide all the solutions, answers and the given)

Please do not assume that all statements are correctly stated. You are free to assume, but it should be explicitly stated. 0 Let X, Y, and Z be defined as subsets of U and suppose that X g Y and Y g 2. Show that X Q Z. Is it true that XC Q 25? Verify. 9 Consider three sets A1, A2, and A3 Let A1 C A2 C A3. Verify that U3 _1 Aj A1 U (AC 0 A2)U (Af 0 Ag" [T A3) 9 Verify whether 3 UA- U(A2 A1) U (A3 - A2) (4) i=1