7. Let A = {, {{@}}, {, }, {, {}}}}. Which one of the following is NOT in the power set of A? i. {0} ii. {, {0}} iii. {, {{0}}} iv. {, {, {}, {, {8}}}} Show that for any three sets A, B, and C, A - (B n C) = (A-B) U (A-C) using the set identities. Let A = {a, b, c, d} and B {y, z}. Find AxB and BxA Let A be a set. Show that: Ax= XA = Prove the following: AV = A, An U= A, A-= A, - A= AU(ANB) = A Let A, B and C be sets. Show that: a) (A-C) n(C-B) = 0 b) (B-A) U (C-A) = (BUC) - A