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: 5

Answer

A'∩(B∪C') = {2}

Work Step by Step

U={1,2,3,4,5,6,7} A={1,3,5,7} B={1,2,3} C={2,3,4,5,6} TO FIND A'∩(B∪C') Let's first find A' & C' A'= {2,4,6} (All the elements of universal set U which are not there in A) C' = {1,7} (All the elements of universal set U which are not there in C) B∪C' = {1,2,3} ∪ {1,7} = {1,2,3,7} (All the elements of B and the elements of C' which are not there in B) A'∩(B∪C') = {2,4,6} ∩ {1,2,3,7} = {2} (Common elements of A' and (B∪C')
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