Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3: 31

Answer

(A∪B)' = {4,6}

Work Step by Step

U = {1,2,3,4,5,6,7} A = { 1,3,5,7} B = {1,2,3} A∪B represents all the elements of A and the elements of B that are not present in A. Therefore the elements of A∪B are {1,2,3,5,7}. (A∪B) = {1,2,3,5,7} The set (A∪B)' represents the elements of 'U' that are not present A∪B Because the elements of A∪B i.e. 1,2,3,5,7 that is not present in (A∪B)' = {4,6} (A∪B)' = {4,6}
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