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: 51


(A∩C) ' = {a,b,c,d,e,f,g,h}

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