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 4.6 - Page 206: 20

Answer

See below.

Work Step by Step

1. To prove the statement by contraposition, we need to show that: if none of the two real numbers are less than 25, then the sum of the two numbers will not be less than 50. 2. Let $x, y$ be any real numbers with $x\ge25$ and $y\ge25$, we have $x+y\ge50$ which means that the sum of the two numbers will not be less than 50. 3. Thus, we can conclude that the statement in the exercise is true.
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