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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 51 to 54, use Venn diagrams to determine whether the argument is valid or not valid.

1) All Boy Scouts serve the United States of America.

2) Sean serves the United States of America.

C) Sean is a Boy Scout.

To determine

Whether the argument is valid or not using Venn diagram.

Explanation

Approach:

Venn diagram:

When a Venn diagram is used to represent the statement “If P, then Q”, circle P lies in circle Q; that is, P is the subset of Q.

Using a Venn diagram, the statement “If P, then Q” is represented by the following diagram:

The statement “If P, then Q” is sometimes expressed in the form “All P are Q

Procedure:

The given statement is “All Boy Scouts serve the United States of America.”

This statement is of the form “All P are Q”. Let’s express this statement in the form of “If P, then Q

So, the first statement can be written as “If a person is a Boy Scout, then he serves the United States of America...

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