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: 52

Answer

(A∩B) ' = {a,b,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 (A∩B)' represents the elements of U which are not present in A∩B. Since the elements of A∩B should not be present in (A∩B). A∩B represents the common elements of A and B. Therefore the common elements of A and B are g,h. So set A∩B = {g,h} Therefore set (A∩B) ' contains {a,b,c,d,e,f}.
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