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: 36


$\text{Set Builder Notation: } \{x|x\ge-6\} \\\text{Interval Notation: } [-6,\infty)$

Work Step by Step

The given inequality, $ x\ge-6 ,$ can be written in the following formats: \begin{array}{l}\require{cancel} \text{Set Builder Notation: } \{x|x\ge-6\} \\\text{Interval Notation: } [-6,\infty) .\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 $\ge.$
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