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

Published by Pearson

# Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 135: 16

#### Answer

$\text{a) a solution }\\\text{b) NOT a solution }\\\text{c) a solution }$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the position of the number on the number line to evaluate if it satisfies the given inequality, $n\ge-4 .$ $\bf{\text{Solution Details:}}$ The inequality $n\ge-4$ is satisfied by all numbers that appear on/on the right of $-4$ in the number line. a) In the number line, $0$ appears on the $\text{ right }$ of $-4 .$ Hence, it is $\text{ a solution .}$ b) In the number line, $-4.1$ appears on the $\text{ left }$ of $-4 .$ Hence, it is $\text{ NOT a solution .}$ C) In the number line, $-3.9$ appears on the $\text{ right }$ of $-4 .$ Hence, it is $\text{ a solution .}$ Therefore, \begin{array}{l}\require{cancel} \text{a) a solution }\\\text{b) NOT a solution }\\\text{c) a solution } .\end{array}

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