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: 25

Answer

Invalid. The major and minor premises are diagrammed. Let C represent the set of all college cafeteria food, G the set of all good food, and W the set of all wasted food. Then any one of the diagrams (a through e) could represent the given premises.

Work Step by Step

Only in diagram (b) is the conclusion true. Therefore since it is possible for true premises to result in a false conclusion, the argument is invalid.
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