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 R - Elementary Algebra Review - R.2 Equations, Inequalities, and Problem Solving - R.2 Exercise Set - Page 947: 44


$\text{Set Builder Notation: } \left\{ n|n\ge-8 \right\} \\\text{Interval Notation: } \left[ -8,\infty \right)$

Work Step by Step

Multiplying both sides by a negative number (and consequently reversing the inequality symbol), then \begin{array}{l}\require{cancel} -\dfrac{1}{2}n\le4 \\\\ -2\left(-\dfrac{1}{2}n\right)\le-2(4) \\\\ n\ge-8 .\end{array} Hence, the solution set is \begin{array}{l}\require{cancel} \text{Set Builder Notation: } \left\{ n|n\ge-8 \right\} \\\text{Interval Notation: } \left[ -8,\infty \right) .\end{array} 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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