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I. Construct a Venn diagram to verify the validity of the given argument. 1. All squares are rectangles. Some quadrilaterals are squares. Therefore, some quadrilaterals are rectangles. 2. Some women are police officers. Some police officers ride motorcycles. Therefore, some women ride motorcycles. 3. All Olympic gold medal winners are role models. Hidilyn Diaz is a role model. Therefore, Hidilyn Diaz is an Olympic gold medal winner.

I. Construct a Venn diagram to verify the validity of the given argument. 1. All squares are rectangles. Some quadrilaterals are squares. Therefore, some quadrilaterals are rectangles. 2. Some women are police officers. Some police officers ride motorcycles. Therefore, some women ride motorcycles. 3. All Olympic gold medal winners are role models. Hidilyn Diaz is a role model. Therefore, Hidilyn Diaz is an Olympic gold medal winner.

Elementary Geometry For College Students, 7e
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 54E: In Exercises 51 to 54, use Venn diagrams to determine whether the argument is valid or not valid. 1...
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1. Construct a Venn diagram to verify the validity of the given argument. 1. All squares are rectangles. Some quadrilaterals are squares. Therefore, some quadrilaterals are rectangles. 2. Some women are police officers. Some police officers ride motorcycles. Therefore, some women ride motorcycles. 3. All Olympic gold medal winners are role models. Hidilyn Diaz is a role model. Therefore, Hidilyn Diaz is an Olympic gold medal winner. 4. No professor is a millionaire. No millionaire is sick. Therefore, no professor is sick. 5. All Filipino photographers are artists. Geloy Concepcion is a Filipino photographer. Therefore, Geloy Concepcion is an artist. 6. All smiling cats talk. The Cheshire cat smiles. Therefore, the Cheshire cat talks. 7. All forest rangers are environmentalists. All forest rangers are storytellers. Therefore, all environmentalists are storytellers. 8. All homeless people are unemployed. Bill Gates is not unemployed. Therefore, Bill Gates is not a homeless person. Mathematics in the Modern World | Activity 4 Page 1
Transcribed Image Text:1. Construct a Venn diagram to verify the validity of the given argument. 1. All squares are rectangles. Some quadrilaterals are squares. Therefore, some quadrilaterals are rectangles. 2. Some women are police officers. Some police officers ride motorcycles. Therefore, some women ride motorcycles. 3. All Olympic gold medal winners are role models. Hidilyn Diaz is a role model. Therefore, Hidilyn Diaz is an Olympic gold medal winner. 4. No professor is a millionaire. No millionaire is sick. Therefore, no professor is sick. 5. All Filipino photographers are artists. Geloy Concepcion is a Filipino photographer. Therefore, Geloy Concepcion is an artist. 6. All smiling cats talk. The Cheshire cat smiles. Therefore, the Cheshire cat talks. 7. All forest rangers are environmentalists. All forest rangers are storytellers. Therefore, all environmentalists are storytellers. 8. All homeless people are unemployed. Bill Gates is not unemployed. Therefore, Bill Gates is not a homeless person. Mathematics in the Modern World | Activity 4 Page 1
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