Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3: 106

Answer

$\{41, 43, 47\}$

Work Step by Step

$A'$ is a set of all the elements in the diagram not in $A$. $(A'\cap B)$ is a set of all the elements not in $A$ that are also elements of $B$. We can see that $B$ has only one element not in $A$: $\{47\}$ $(A\cap B)$ is a set of all elements in the circle for $A$ that are also in the circle for $B$: $\{41, 43\}$ $(A'\cap B)\cup(A\cap B)$ is a set of all the elements in either or both of these sets: $\{41, 43, 47\}$
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