Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 2 - The Logic of Compound Statements - Exercise Set 2.3 - Page 62: 22


invalid argument

Work Step by Step

Let p represent “Tom is on team A” and q represent “Hua is on team B.” Then the argument has the form ∼p →q ∼q → p ∴∼p ∨ ∼q The first row shows that it is possible for an argument of this form to have true premises and a false conclusion. Thus this argument form is invalid.
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