Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 1 - Speaking Mathematically - Exercise Set 1.2 - Page 13: 2

Answer

a. "the set of all positive real numbers $x$ such that zero is less than $x$ and $x$ is less than one" b. "the set of all real numbers $x$ such that $x$ is less than or equal to zero, or $x$ is greater than or equal to one" c. "the set of all integers $n$ such that $n$ is a factor of 6" d. "the set of all positive integers $n$ such that $n$ is a factor of 6"

Work Step by Step

It is important to know the names of the sets $Z$ (the integers), $Q$ (the rationals), and $R$ (the reals). A superscript plus sign (e.g., $Z^{+}$) denotes the positive elements of the set. It is also important to remember that the vertical bar | is read "such that."
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