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: 21

Answer

(AUBUC)' = { }

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