The symmetric difference of A And B, denoted by A ? B, is the set containing those elements in either A or B, but not in both A And B.If A, B, C. and D are sets, does it follow that (A ? B) ? (C ? D) = (A ? C) ? (B ?D)?

Answer:Step-1: In this problem we need to show that , where A , B , C and D are sets.2)SYMMETRIC DIFFERENCE: The symmetric difference of two sets A and B is the set containing all those elements which belongs either to A or to B but not to both , and it is denoted by (or) is also expressed by We know that , if and only if ……..(1)Consider , , since from (1). , since is associative. , since is commutative. , since from (1). Hence , . Therefore , the given statement is true .