Venn diagram


John Anderson is the section chief for an electric company. The employees in his section cut down trees, climb poles, and splice wire. John reported the following information to the management of the utility company.

"Of the 100 employees in my section,

45 can cut trees;

50 can climb poles;

57 can splice wire;

28 can cut trees and climb poles;

20 can climb poles and splice wire;

25 can cut trees and splice wire;

11 can do all three;

9 can''t do any of the three (management trainees)."

1. Draw a Venn diagram of John’s section of the electric company using T = those who cut trees, P = those who climb poles, and W = those who splice wire and label each region with the correct number of employees. (Hint: Read chapter 2 completely for similar examples before you do this exercise)

2. Using the information from question 1, discuss your result. Is Mr. Anderson’s report correct? Why/why not?

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Mathematics: Venn diagram
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