Chapter A.5, Problem 14E

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12th Edition

Soo T. Tan

ISBN: 9781337405782

Textbook Problem

In Exercises

To determine

**To check:**

The validity of the given argument

Explanation

**Approach:**

The disjunction is true if at least one of the components of the disjunction is true.

The disjunction is false if both the statements are false.

The conjunction is true if both the components of the conjunction is true.

The conjunction is false if at least one of the statements is false.

If the statement

If the statement

The negation

If the component of the statement is true the negation of statement is false and vice-versa.

An argument is valid if the conclusion of the argument is guaranteed under its given set of premises.

An argument having *n* premises *C* can be represented by the conditional

**Calculation:**

Consider the argument

Therefore, the conditional for the argument is,

There are 3 letters in the given symbolic expression. So, there will be

There will be eight columns in the truth table

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

Sect-A.1 P-11ESect-A.1 P-12ESect-A.1 P-13ESect-A.1 P-14ESect-A.1 P-15ESect-A.1 P-16ESect-A.1 P-17ESect-A.1 P-18ESect-A.1 P-19ESect-A.1 P-20ESect-A.1 P-21ESect-A.1 P-22ESect-A.1 P-23ESect-A.1 P-24ESect-A.1 P-25ESect-A.1 P-26ESect-A.1 P-27ESect-A.1 P-28ESect-A.1 P-29ESect-A.1 P-30ESect-A.1 P-31ESect-A.1 P-32ESect-A.1 P-33ESect-A.2 P-1ESect-A.2 P-2ESect-A.2 P-3ESect-A.2 P-4ESect-A.2 P-5ESect-A.2 P-6ESect-A.2 P-7ESect-A.2 P-8ESect-A.2 P-9ESect-A.2 P-10ESect-A.2 P-11ESect-A.2 P-12ESect-A.2 P-13ESect-A.2 P-14ESect-A.2 P-15ESect-A.2 P-16ESect-A.2 P-17ESect-A.2 P-18ESect-A.2 P-19ESect-A.3 P-1ESect-A.3 P-2ESect-A.3 P-3ESect-A.3 P-4ESect-A.3 P-5ESect-A.3 P-6ESect-A.3 P-7ESect-A.3 P-8ESect-A.3 P-9ESect-A.3 P-10ESect-A.3 P-11ESect-A.3 P-12ESect-A.3 P-13ESect-A.3 P-14ESect-A.3 P-15ESect-A.3 P-16ESect-A.3 P-17ESect-A.3 P-18ESect-A.3 P-19ESect-A.3 P-20ESect-A.3 P-21ESect-A.3 P-22ESect-A.3 P-23ESect-A.3 P-24ESect-A.3 P-25ESect-A.3 P-26ESect-A.3 P-27ESect-A.3 P-28ESect-A.3 P-29ESect-A.3 P-30ESect-A.3 P-31ESect-A.3 P-32ESect-A.3 P-33ESect-A.3 P-34ESect-A.3 P-35ESect-A.3 P-36ESect-A.3 P-37ESect-A.3 P-38ESect-A.4 P-1ESect-A.4 P-2ESect-A.4 P-3ESect-A.4 P-4ESect-A.4 P-5ESect-A.4 P-6ESect-A.4 P-7ESect-A.4 P-8ESect-A.4 P-9ESect-A.4 P-10ESect-A.4 P-11ESect-A.4 P-12ESect-A.4 P-13ESect-A.4 P-14ESect-A.4 P-15ESect-A.4 P-16ESect-A.4 P-17ESect-A.4 P-18ESect-A.4 P-19ESect-A.4 P-20ESect-A.4 P-21ESect-A.4 P-22ESect-A.4 P-23ESect-A.4 P-24ESect-A.4 P-25ESect-A.4 P-26ESect-A.5 P-1ESect-A.5 P-2ESect-A.5 P-3ESect-A.5 P-4ESect-A.5 P-5ESect-A.5 P-6ESect-A.5 P-7ESect-A.5 P-8ESect-A.5 P-9ESect-A.5 P-10ESect-A.5 P-11ESect-A.5 P-12ESect-A.5 P-13ESect-A.5 P-14ESect-A.5 P-15ESect-A.5 P-16ESect-A.5 P-17ESect-A.5 P-18ESect-A.5 P-19ESect-A.5 P-20ESect-A.5 P-21ESect-A.5 P-22ESect-A.5 P-23ESect-A.5 P-24ESect-A.5 P-25ESect-A.6 P-1ESect-A.6 P-2ESect-A.6 P-3ESect-A.6 P-4ESect-A.6 P-5ESect-A.6 P-6ESect-A.6 P-7ESect-A.6 P-8ESect-A.6 P-9ESect-A.6 P-10ESect-A.6 P-11ESect-A.6 P-12ESect-A.6 P-13ESect-A.6 P-14ESect-A.6 P-15ESect-A.6 P-16E

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