1. Suppose A = {a,e}, B = {a,b,h,l}, and C = {e,b,t}. We will consider A, B, and C as subsets of the universal set U = {a,l,p,h,a,b,e,t}. Find each of the following. Show intermediate steps to demonstrate the correct order of operations. (a) (A∪B)∩C= (b) A∪(B∩C)= (c) B−C= (d) C−B= (e) (Bc ∪C)c = (f) B∩Cc = (g) |U|= (h) A×C=

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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”.