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: 24

Answer

(BUC)'∩A= {a}

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