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: 15


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

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, $ y\le19 .$ $\bf{\text{Solution Details:}}$ The inequality $ y\le19 $ is satisfied by all numbers that appear on/on the left of $19$ in the number line. a) In the number line, $ 18.99 $ appears on the $\text{ left }$ of $ 19 .$ Hence, it is $\text{ a solution .}$ b) In the number line, $ 19.01 $ appears on the $\text{ right }$ of $ 19 .$ Hence, it is $\text{ NOT a solution .}$ C) In the number line, $ 19 $ appears $\text{ exactly on }$ $ 19 .$ 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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