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: 9

Answer

Invalid by the inverse error.

Work Step by Step

Inverse Error: $\forall x$ if $P(x)$ then $Q(x)$. ~$P(a)$ for a particular $a$. $\therefore$ ~$Q(a)$. (invalid conclusion) In this case P(x) is: x is a healthy person. Q(x) is: x eats an apple a day. a is Herbert.
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