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 159: 36

Answer

The statement is neither a tautology nor a self-contradiction.

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. As seen from the truth table that the given statement is neither always true nor always false, therefore, it is neither a tautology nor a self-contradiction. Hence, the given statement is neither always true nor always false, therefore, it is neither a tautology nor a self-contradiction.
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