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 - Page 81: 24

Answer

B'∩C = {4,5,6}

Work Step by Step

U = {1,2,3,4,5,6,7} B = {1,2,3} C = {2,3,4,5,6} 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} B'∩C implies the common elements which are present in both the sets B' and C. Therefore the common elements are 4,5,6. B'∩C = {4,5,6}
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