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 - Page 91: 14

Answer

A∩(BUC)={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∩(BUC), 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 elements of B and the elements of C that are not in B) A∩(BUC)={a,g,h} ∩ {b,c,d,e,f,g,h} = {g,h} (Common elements of A and (BUC) )
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