Suppose that A, B, and C are sets. Show that if C Union B = C Union A and C Intersection B = C Intersection A, then A = B. Reminder (See Wikipedia for more information): X is the Complement operator for X. X is defined as X = {x | x elementof U (where U is the universe) and x NotElement X} X Union Y is the Union operator for X, Y. X Union Y is defined as X Union Y = { x | x elementof X or x elementof Y}. X Intersection Y is the Intersection operator for X, Y. X Intersection Y is defined as X Intersection Y = {x | x elementof X and x elementof Y}