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: 32

Answer

(A∪C)' = {} = ∅

Work Step by Step

U = {1,2,3,4,5,6,7} A = { 1,3,5,7} C = {2,3,4,5,6} A∪C represents all the elements of A and the elements of C that are not present in A. Therefore the elements of A∪C are {1,2,3,4,5,6,7}. (A∪C) = {1,2,3,4,5,6,7} The set (A∪C)' represents the elements of 'U' that are not present A∪C Because the elements of A∪C i.e. 1,2,3,4,5,6,7 that is not present in (A∪C)' = {} = ∅
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