   # Construct a truth table for each compound statement. ~ ( p ∨ q ) ∧ ( ~ r ∨ q ) ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 3.2, Problem 19ES
Textbook Problem
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## Construct a truth table for each compound statement. ~ ( p ∨ q ) ∧ ( ~ r ∨ q )

To determine

To calculate:

To construct a truth table for(pq)(rq)

### Explanation of Solution

Given information:

compound statement(pq)(rq) is given

Calculation:

We will apply the logical implementation here

(1) In this case there are compounds are p,q,r, so there will be total 8 cases.

(2) First is logical negation operation of one logical value

Liker means opposite tor

(3) Inpq if one value eitherp orq is true if at least one of its operand is true.

(4)(pq) is a logical negation operation of one logical value

Like ~ (p ? q) means opposite topq

(5)(rq) means if one value either ~r or q is true if at least one of its operand is true.

(6) ~ (p ? q) ? (~r ? q) is the logical conjunction (AND) of(pq) and(rq) is a value is true if both of its operands are true.

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