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: 30

Answer

A'∪B' = {2,4,5,6,7}

Work Step by Step

U = {1,2,3,4,5,6,7} A = { 1,3,5,7} B = {1,2,3} The set A' contains all the elements that are not in set A. Since A contains 1,3,5,7 so these elements will not be there in set A. Therefore the elements of A' are 2,4,6. A' = {2,4,6} The set B' contains all the elements that are not in set B. Since B contains 1,2,3 so these elements will not be there in set B. Therefore the elements of B' are 4,5,6,7. B' = {4,5,6,7} A'∪B' shows all the elements of set A' and set B' and excluding repeated ones. List the elements from the first set, namely 2, 4 and 6. Now add to the list the elements in the second set that are not in the first set. This includes element in the second set, namely 5 ,7. The elements of A'∪B' are 2,4,5,6,7. Therefore A'∪B' = {2,4,5,6,7}
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