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: 22

Answer

(A∩B∩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} To find (A∩B∩C)', we need to find (A∩B∩C). (A∩B∩C) = {a,g,h} ∩ {b,g,h} ∩ {b,c,d,e,f} = { } (List of all common elements of A and B and C) (A∩B∩C)' represents the elements of U which are not there in (A∩B∩C) So, (A∩B∩C)' = U = {a,b,c,d,e,f,g,h}
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