Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.8 - Proof Methods and Strategy - Exercises - Page 108: 6

Answer

Let x=2k+1, where k is some integer. Let y=2i, where i is some integer. 5 x+5 y=5(2 k+1)+5(2 i) 5 x+5 y=10 k+5+10 i 5 x+5 y=10 k+10 i+4+1 5 x+5 y=2(5 k+5 i+2)+1 is odd

Work Step by Step

Let x=2k+1, where k is some integer. Let y=2i, where i is some integer. 5 x+5 y=5(2 k+1)+5(2 i) 5 x+5 y=10 k+5+10 i 5 x+5 y=10 k+10 i+4+1 5 x+5 y=2(5 k+5 i+2)+1 is odd
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