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: 48

Answer

B'∩C = {c,d,e,f}

Work Step by Step

U = {a,b,c,d,e,f,g,h} A = {a,g,h} B = {b,g,h} C = {b,c,d,e,f} The set B' contains all the elements that are not in set B. Since B contains b,g,h so these elements will not be there in set B. Therefore the elements of B' are a,c,d,e,f. B' = {a,c,d,e,f} B'∩C implies the common elements which are present in both the sets B' and C. Therefore the common elements are c,d,e,f. B'∩C = {c,d,e,f}
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