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 147: 11

Answer

true

Work Step by Step

Let $p$ and $q$ represent the following statements: $p$: $4 + 6 = 10$ $q$: $5 * 8 = 80$ We have to check the truth value of $p ∨ $~$q$. A disjunction is false only when both component statements are false. $p$ is true, $q$ is false, and ~$q$ is true. Therefore, $p ∨ $~$q$ is true.
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