Discrete Mathematics with Applications 4th Edition

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

Chapter 3 - The Logic of Quantified Statements - Exercise Set 3.4 - Page 143: 26


Valid. Let P represent the set of polynomial functions. Let D represent the set of differentiable functions. Let C represent the set of continuous functions. The major the minor premises are diagrammed. There is only one way to compose the premises which is also diagrammed.

Work Step by Step

Given true premises, the conclusion must be true. There is no way for true premises to result in a false conclusion. Hence the argument is valid.
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