Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter R - Section R.1 - Basic Concepts - R.1 Exercises: 28

Answer

TRUE. The set of integers $\{...,-2,-1,0,1,2,...\}$ can be expressed as $\left\{...,-\dfrac{2}{1},-\dfrac{1}{1},\dfrac{0}{1},\dfrac{1}{1},\dfrac{2}{1},...\right\}$ or as a ratio between two integers. Hence, every integer is a rational number.

Work Step by Step

The set of integers $\{...,-2,-1,0,1,2,...\}$ can be expressed as $\left\{...,-\dfrac{2}{1},-\dfrac{1}{1},\dfrac{0}{1},\dfrac{1}{1},\dfrac{2}{1},...\right\}$ or as a ratio between two integers. Hence, every integer is a rational number.
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