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 4.2 - Page 169: 17

Answer

True

Work Step by Step

If the first number is $\frac{a}{b}$ and the second is $\frac{c}{d}$, where a,b,c,d are integers, the difference can be written as $\frac{ad-bc}{bd}$, which is clearly rational because every term in the numerator and denominator is an integer.
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