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: 27

Answer

(A∩C) ' = {1,2,4,6,7}

Work Step by Step

U = {1,2,3,4,5,6,7} A = { 1,3,5,7} C = {2,3,4,5,6} 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 3,5. So set A∩C = {3,5} Therefore set (A∩C) ' contains {1,2,4,6,7}.
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