Answer
Invalid by the converse error.
Work Step by Step
Converse Error: $\forall x$ if $P(x)$ then $Q(x)$.
$Q(a)$ for a particular $a$.
$\therefore P(a)$. (invalid conclusion)
In this case P(x) is: x is even.
Q(x) is: 2x is even.
a is n.
Discrete Mathematics with Applications 4th Edition
by Epp, Susanna S.
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: 16
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