Therefore, some quadrilaterals are rectangles. B. 1. Some women are police officers. 2. Some police officers ride motorcycles. Therefore, some women ride motorcycles. C. 1. All Olympic gold medal winners are role models. 2. Michael Phelps is a role model. Therefore, Michael Phelps is an Olympic gold medal winner.
Construct a Venn diagram to verify the validity of the given argument.
A. 1. All squares are rectangles.
2. Some quadrilaterals are squares.
Therefore, some quadrilaterals are rectangles.
B. 1. Some women are police officers.
2. Some police officers ride motorcycles.
Therefore, some women ride motorcycles.
C. 1. All Olympic gold medal winners are role models.
2. Michael Phelps is a role model.
Therefore, Michael Phelps is an Olympic gold medal winner.
D. 1. No professor is a millionaire.
2. No millionaire is illiterate.
Therefore, no professor is illiterate.
E. 1. All master photographers are artists.
2. Ansel Adams is a master photographer.
Therefore, Ansel Adams is an artist.
F. 1. All smiling cats talk.
2. The Cheshire Cat smiles.
Therefore, the Cheshire Cat talks.
G. 1. All forest rangers are environmentalists.
2. All forest rangers are storytellers.
Therefore, all environmentalists are storytellers.
H. 1. All homeless people are unemployed.
2. Bill Gates is not unemployed.
Therefore, Bill Gates is not a homeless person.
I. 1. All pesticides are harmful to the environment.
2. No fertilizer is a pesticide.
Therefore, no fertilizer is harmful to the environment.
J. 1. Some professors wear glasses.
2. Mr. Einstein wears glasses.
Therefore, Mr. Einstein is a professor.
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