Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - 2.4 Set Operations and Venn Diagrams with Three Sets - Exercise Set 2.4: 6

Answer

C'∩(A∪B') = {1,7}

Work Step by Step

U={1,2,3,4,5,6,7} A={1,3,5,7} B={1,2,3} C={2,3,4,5,6} TO FIND C'∩(A∪B') Let's first find B' & C' B'= {4,5,6,7} (All the elements of universal set U which are not there in B) C' = {1,7} (All the elements of universal set U which are not there in C) A∪B' = {1,3,5,7} ∪ {4,5,6,7} = {1,3,4,5,6,7} (All the elements of A and the elements of B' which are not there in A) C'∩(A∪B') = {1,7} ∩ {1,3,4,5,6,7} = {1,7} (Common elements of C' and (A∪B')
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