## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3 - Page 82: 117

III region

#### Work Step by Step

We can see the following information on the graph: - Blue bars represent the percentage of Americans who prefer men in various jobs. - Yellow bars represent the percentage of Americans who prefer women in various jobs. - The blue bar for elementary school teachers is below the dotted line for $10\%$: less than 10% of Americans prefer men. - The yellow bar for elementary school teachers stops around the dotted line for $60\%$: around $60\%$ of Americans prefer women. A - the set of jobs for which more than $20\%$ prefer men. B - the set of jobs for which more than $20\%$ prefer women. We can see that elementary school teacher is a job that belongs in B but not in A; therefore, it belongs in the $III$ region.

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