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: 54


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. Determine the truth table for the provided statement, \[\left[ \left( p\to q \right)\wedge \left( q\to r \right) \right]\to \left( \sim r\to \sim p \right)\] as shown below,
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