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: 137

Answer

$\emptyset$ (there were no years in which more than $55\%$ were pretty happy and $12\%$ were not too happy.)

Work Step by Step

Let's call: $A$ - The set of years in which more than $55\%$ were pretty happy. $B$ - The set of years in which $12\%$ were not too happy. $C$ - The set of years in which more than $55\%$ were pretty happy and $12\%$ were not too happy. $C=A\cap B$ From the graph we can see that: $A=\{1990, 2000, 2010\}$ $B=\{1980\}$ $C=A\cap B=\emptyset$
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