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: 16

Answer

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