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 4.1 - Page 162: 42

Answer

the proof incorrectly states that m=n

Work Step by Step

in the second sentence, the proof statement denotes m = 2k and n= 2k. which incorrectly states that m=n. The correct approach would have been to state that m =2k and n =2r for some integers r and k.
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