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: 10

Answer

(A∩B∩C)'= {1,2,4,5,6,7}

Work Step by Step

U={1,2,3,4,5,6,7} A={1,3,5,7} B={1,2,3} C={2,3,4,5,6} TO FIND (A∩B∩C)' Let's first find A∩B∩C A∩B∩C={1,3,5,7} ∩ {1,2,3} ∩ {2,3,4,5,6} = {3} (All the common elements of A, B & C) (A∩B∩C)'= {1,2,4,5,6,7} (All the elements of universal set U which are not there in (A∩B∩C))
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