Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 135: 35

Answer

$\text{Set Builder Notation: } \{x|x\le-7\} \\\text{Interval Notation: } (-\infty,-7]$

Work Step by Step

The given inequality, $ x\le-7 ,$ can be written in the following formats: \begin{array}{l}\require{cancel} \text{Set Builder Notation: } \{x|x\le-7\} \\\text{Interval Notation: } (-\infty,-7] .\end{array} Note that in the interval notation, use parentheses for $\lt$ or $\gt.$ Use a bracket for $\le$ or for $\ge.$ In the graph, a hollowed dot is used for $\lt$ or $\gt.$ A solid dot is used for $\le$ or $\ge.$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.