Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - Chapter Summary, Review, and Test - Review Exercises - Page 110: 60

Answer

Venn diagram

Work Step by Step

(a) The number of American adults who invested only in stocks is represented by region I: \[\begin{align} & \text{Number of adults who invested only in stocks}=n\left( \text{I} \right) \\ & =250 \end{align}\] (b) The number of American adults who invested in stocks or bonds is represented by the sum of the regions I, II, and III: \[\begin{align} & \text{Number of adults who invested only in stocks or bonds}=n\left( \text{I} \right)+n\left( \text{II} \right)+n\left( \text{III} \right) \\ & =250+400+150 \\ & =800 \end{align}\] (c) The number of adults who did not invest in either stocks or bonds is represented by region IV: \[\begin{align} & \text{Number of adults who did not invest in either stocks or bonds}=n\left( \text{IV} \right) \\ & =200 \end{align}\]
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