Discrete Mathematics with Applications 4th Edition

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

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.2 - Page 169: 21

Answer

True

Work Step by Step

$m^2$ is even, as the product of two even numbers is even. Also, $3n$ is odd because the product of two odd integers is odd. Since the sum of an odd integer and an even integer is odd, the expression is odd and the statement is true.
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