   # In Exercises 1-8, construct a truth table for each compound proposition. p ∨ ~ q ### Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
Publisher: Cengage Learning
ISBN: 9781337405782

#### Solutions

Chapter
Section ### Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
Publisher: Cengage Learning
ISBN: 9781337405782
Chapter A.2, Problem 1E
Textbook Problem
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## In Exercises 1-8, construct a truth table for each compound proposition. p ∨ ~ q

To determine

To construct:

The truth table for compound proposition p~q.

### Explanation of Solution

Approach:

The truth table is constructed in following manner,

1. The two prime proposition p and q are placed at the head of first two columns.

2. The proposition containing the proposition ~q and p~q are placed at the head of next two columns.

3. The possible truth values of p are entered in the column headed by p and then the possible truth values of q are entered in the column headed by q. The possible T values are always exhausted first.

4. The possible truth values of the negation ~q are entered in the column headed as ~q and the possible truth value of the disjunction p~q are entered in the column headed by p~q

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