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: 15


(AUB)∩(AUC) = {a,b,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 (AUB)∩(AUC), we need to find (AUB) and (AUC). AUB={a,g,h}U{b,g,h}={a,b,g,h} (List of all elements of A and the elements of B that are not in A) AUC={a,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 C that are not in A) (AUB)∩(AUC)={a,b,g,h} ∩ {a,b,c,d,e,f,g,h} = {a,b,g,h} (Common elements of (AUB) and (AUC))
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