Construct a Venn diagram to verify the validity of the given argument. 1. All forest rangers are environmentalists. All forest rangers are storytellers. Therefore, all environmentalists are storytellers.   2. All homeless people are unemployed. Bill Gates is not unemployed. Therefore, Bill Gates is not a homeless person.   3. All pesticides are harmful to the environment. No fertilizer is a pesticide. Therefore, no fertilizer is harmful to the environment.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.2: Statements And Reasoning
Problem 53E: In Exercises 51 to 54, use Venn diagrams to determine whether the argument is valid or not valid. 1...
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I. Construct a Venn diagram to verify the validity of the given argument.

1. All forest rangers are environmentalists. All forest rangers are storytellers.

Therefore, all environmentalists are storytellers.

 

2. All homeless people are unemployed. Bill Gates is not unemployed.

Therefore, Bill Gates is not a homeless person.

 

3. All pesticides are harmful to the environment. No fertilizer is a pesticide.

Therefore, no fertilizer is harmful to the environment.

 

4. Some professors wear glasses. Mr. Einstein wears glasses.

Therefore, Mr. Einstein is a professor.

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