Discrete Mathematics and Its Applications, Seventh Edition

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

Chapter 2 - Section 2.1 - Sets - Exercises - Page 125: 2

Answer

a) $\{x|x$ is a non-negative multiple of 3 that is less than or equal to 12$\}$ b) $\{x| -3\leq x \leq 3, x\in \mathbb{Z}\}$ c) $\{x|x$ is a letter of the English alphabet between m and p$\}$

Work Step by Step

Here, we want to use set builder notation to give descriptions of a) $\{0, 3, 6, 9, 12\}$ b) $\{-3, -2, -1, 0, 1, 2, 3\}$ c) $\{m, n, o, p\}$. To do so, we use $\{x|x$ satisfies this/these condition(s)$\}$ notation, as developed in the text
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