15. Define the symmetric difference A + B of sets A and B to be the set (A - B)u (B- A). (a) Show that An (B C)-(An B)(An c). (b) Show that A(B C) (A+B)+C.

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Q: A and B be two sets, and A - B = . a) What can you say about sets A and B? b) Draw a Venn diagram.

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”.