Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - 2.4 Set Operations and Venn Diagrams with Three Sets - Exercise Set 2.4: 2

Answer

A∩(B∪C)={1,3,5}

Work Step by Step

A={1,3,5,7} B={1,2,3} C={2,3,4,5,6} TO FIND A∩(B∪C) Let's first find B∪C B∪C = {1,2,3} ∪ {2,3,4,5,6} = {1,2,3,4,5,6} (All the elements of B and C which are not in B) Then A∩(B∪C) = {1,3,5,7} ∩ {1,2,3,4,5,6} = {1,3,5} (Common elements of A and (B∪C)) Thus A∩(B∪C)={1,3,5}
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