Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 3 - Logic - 3.3 Truth Tables for Negation, Conjunction and Disjunction - Exercise Set 3.3 - Page 149: 89

Answer

A disjunction is true for all conditions except when both the statements are false.

Work Step by Step

Assume a statement “Food is not good and I had it.” Assume that and are the statements such that : Food is good. : I will have it. The above-assumed statement gives truth value true because disjunction always considers the true value if it exists. Since there are two statements, there will exist four conditions for truth value. Consider the truth table for this statement of disjunction:
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