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 161: 2

Answer

a) 6m + 8n is even? TRUE b) 10mn + 7 is odd? TRUE c) if m>n>0, is m^{2} - n^{2} composite? FALSE

Work Step by Step

a) 8,6 are both even numbers, and the product of any even number with an integer is even, so 8n is even and 6m is even, hence the sum of 2 even integers is even. b) 10 is even, mn is an integer, even * int is even,hence even +7(odd) = odd c) by counter example take m = 2 n = 1, then m^2-n^2 = 3 which is prime.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.