Intermediate Algebra (12th Edition)

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

Chapter 1 - Section 1.5 - Linear Inequalities in One Variable - 1.5 Exercises: 58


$\left( -3,-2 \right)$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the concepts of inequalities to translate the given description, \begin{array}{l}\require{cancel}\text{ a number is between $-3$ and $-2$ },\end{array} into symbols. Express the solution set in interval notation. $\bf{\text{Solution Details:}}$ A number between $-3$ and $-2$ is less than $-2,$ but greater than $-3.$ In symbols, this is equivalent to \begin{array}{l}\require{cancel} -3\lt x \lt -2 .\end{array} In interval notation, the solution set is $ \left( -3,-2 \right) .$
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