Finite Math: Notations

Question

Let the Universal set U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 5, 6}, B = { 1, 2, 4, 5, 7}, and

C = {3, 5, 6, 7}.

(a) A ∩ B =

(b)  A ∪ (B ∩ C) =

(c)  A ᴜ (B∩ C)′ =

(d) Exhibit 5 different subsets of A.

Answer 1

a) {1,5}

b) {1,5,6} U {5,7} = {1,5,6,7}

c) (B intersect C)' = {1,2,3,4,6,8}

{1,5,6} U {1,2,3,4,6,8} = {1,2,3,4,5,6,8}

d) {1},{5},{6},{1,5},{1,6},{5,6},{1,5,6}, empty set