Discrete Mathematics with Applications 4th Edition

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

Chapter 8 - Relations - Exercise Set 8.1 - Page 448: 7

Answer

A) Yes B) Yes C) Yes D) Yes

Work Step by Step

A) 5| $\ (1 - 9^2)$ = 5| -80, because -80 = 5* {-16} , -16 $\in$ Z B) 5 | $\ (2^2 - 13^2)$ = 5 | -165, because -165 = 5*{-33}, -33 $\in$ Z C ) 5| $\ (2^2 - 8^2) $ = 5 | -60, because -60 = 5*{-12}, -12 $\in$ Z D) 5| $\ (8^2 - 2^2) $ = 5 | 60, because 60 = 5*{12}, 12 $\in$ Z
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