The symmetric difference of two sets A O B is the set of elements that are in either the set A, or in the set B, but not in both. Now suppose A, B, and C are sets. Does A O (B C) = (A ® B) + C? Explain why or why not in a few sentences (you do not need to give a formal proof).

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A: Given A and B two sets such that A ∩ B = A

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.