Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.4 Truth Tables for the Conditional and the Biconditional - Exercise Set 3.4 - Page 160: 44

Answer

The statement is a tautology.

Work Step by Step

A compound statement that is always true is called a tautology, and a compound statement that is always false is called a self-contradiction. The truth table for the symbolic statement, \[\sim \left( p\vee q \right)\leftrightarrow \left( \sim p\wedge \sim q \right)\] is shown below:
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