Chapter P.2, Problem 54E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*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 is a Boy Scout.

C) Sean serves the United States of America.

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...

Sect-P.1 P-1ESect-P.1 P-2ESect-P.1 P-3ESect-P.1 P-4ESect-P.1 P-5ESect-P.1 P-6ESect-P.1 P-7ESect-P.1 P-8ESect-P.1 P-9ESect-P.1 P-10E

Sect-P.1 P-11ESect-P.1 P-12ESect-P.1 P-13ESect-P.1 P-14ESect-P.1 P-15ESect-P.1 P-16ESect-P.1 P-17ESect-P.1 P-18ESect-P.1 P-19ESect-P.1 P-20ESect-P.1 P-21ESect-P.1 P-22ESect-P.1 P-23ESect-P.1 P-24ESect-P.1 P-25ESect-P.1 P-26ESect-P.1 P-27ESect-P.1 P-28ESect-P.1 P-29ESect-P.1 P-30ESect-P.1 P-31ESect-P.1 P-32ESect-P.1 P-33ESect-P.1 P-34ESect-P.1 P-35ESect-P.1 P-36ESect-P.1 P-37ESect-P.1 P-38ESect-P.2 P-1ESect-P.2 P-2ESect-P.2 P-3ESect-P.2 P-4ESect-P.2 P-5ESect-P.2 P-6ESect-P.2 P-7ESect-P.2 P-8ESect-P.2 P-9ESect-P.2 P-10ESect-P.2 P-11ESect-P.2 P-12ESect-P.2 P-13ESect-P.2 P-14ESect-P.2 P-15ESect-P.2 P-16ESect-P.2 P-17ESect-P.2 P-18ESect-P.2 P-19ESect-P.2 P-20ESect-P.2 P-21ESect-P.2 P-22ESect-P.2 P-23ESect-P.2 P-24ESect-P.2 P-25ESect-P.2 P-26ESect-P.2 P-27ESect-P.2 P-28ESect-P.2 P-29ESect-P.2 P-30ESect-P.2 P-31ESect-P.2 P-32ESect-P.2 P-33ESect-P.2 P-34ESect-P.2 P-35ESect-P.2 P-36ESect-P.2 P-37ESect-P.2 P-38ESect-P.2 P-39ESect-P.2 P-40ESect-P.2 P-41ESect-P.2 P-42ESect-P.2 P-43ESect-P.2 P-44ESect-P.2 P-45ESect-P.2 P-46ESect-P.2 P-47ESect-P.2 P-48ESect-P.2 P-49ESect-P.2 P-50ESect-P.2 P-51ESect-P.2 P-52ESect-P.2 P-53ESect-P.2 P-54ESect-P.2 P-55ESect-P.2 P-56ESect-P.3 P-1ESect-P.3 P-2ESect-P.3 P-3ESect-P.3 P-4ESect-P.3 P-5ESect-P.3 P-6ESect-P.3 P-7ESect-P.3 P-8ESect-P.3 P-9ESect-P.3 P-10ESect-P.3 P-11ESect-P.3 P-12ESect-P.3 P-13ESect-P.3 P-14ESect-P.3 P-15ESect-P.3 P-16ESect-P.3 P-17ESect-P.3 P-18ESect-P.3 P-19ESect-P.3 P-20ESect-P.3 P-21ESect-P.3 P-22ESect-P.3 P-23ESect-P.3 P-24ESect-P.3 P-25ESect-P.3 P-26ESect-P.3 P-27ESect-P.3 P-28ESect-P.3 P-29ESect-P.3 P-30ESect-P.3 P-31ESect-P.3 P-32ESect-P.3 P-33ESect-P.3 P-34ESect-P.3 P-35ESect-P.3 P-36ESect-P.3 P-37ESect-P.3 P-38ESect-P.3 P-39ESect-P.3 P-40ESect-P.3 P-41ESect-P.3 P-42ESect-P.3 P-43ESect-P.3 P-44ESect-P.3 P-45ESect-P.3 P-46ESect-P.3 P-47ESect-P.3 P-48ESect-P.3 P-49ESect-P.3 P-50ESect-P.CR P-1CRSect-P.CR P-2CRSect-P.CR P-3CRSect-P.CR P-4CRSect-P.CR P-5CRSect-P.CR P-6CRSect-P.CR P-7CRSect-P.CR P-8CRSect-P.CR P-9CRSect-P.CR P-10CRSect-P.CR P-11CRSect-P.CR P-12CRSect-P.CR P-13CRSect-P.CR P-14CRSect-P.CR P-15CRSect-P.CR P-16CRSect-P.CR P-17CRSect-P.CR P-18CRSect-P.CR P-19CRSect-P.CR P-20CRSect-P.CR P-21CRSect-P.CR P-22CRSect-P.CR P-23CRSect-P.CR P-24CRSect-P.CR P-25CRSect-P.CR P-26CRSect-P.CR P-27CRSect-P.CR P-28CRSect-P.CR P-29CRSect-P.CR P-30CRSect-P.CR P-31CRSect-P.CR P-32CRSect-P.CR P-33CRSect-P.CR P-34CRSect-P.CR P-35CRSect-P.CR P-36CRSect-P.CR P-37CRSect-P.CR P-38CRSect-P.CR P-39CRSect-P.CR P-40CRSect-P.CR P-41CRSect-P.CR P-42CRSect-P.CR P-43CRSect-P.CT P-1CTSect-P.CT P-2CTSect-P.CT P-3CTSect-P.CT P-4CTSect-P.CT P-5CTSect-P.CT P-6CTSect-P.CT P-7CTSect-P.CT P-8CTSect-P.CT P-9CTSect-P.CT P-10CTSect-P.CT P-11CTSect-P.CT P-12CTSect-P.CT P-13CTSect-P.CT P-14CTSect-P.CT P-15CTSect-P.CT P-16CTSect-P.CT P-17CTSect-P.CT P-18CTSect-P.CT P-19CTSect-P.CT P-20CT

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