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: 13

Answer

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