Let U={10,20,30,40,50,60,70,80.90,100}, A={20,40,60}, B={40,80,90,100}, and C={30,60,70,90}. Find a. A ∩ B b. A ∩ (B' U C') c. A' U (B U C') d. (A' U C) ∩ (B' U C') e. (A' U C) ∩ (B U C') f. (A' U C') ∩ (B U C') g. (C) U (B U C') h. (C) U (B')

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 25E
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Let U={10,20,30,40,50,60,70,80.90,100}, A={20,40,60}, B={40,80,90,100}, and C={30,60,70,90}.

Find 

a. A ∩ B

b. A ∩ (B' U C')

c.  A' U (B U C')

d. (A' U C) ∩ (B' U C')

e. (A' U C) ∩ (B U C')

f. (A' U C') ∩ (B U C')

g.  (C) U (B U C')

h. (C) U (B')

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