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

$y\le-2$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given, $-4y-3\ge5 .$ $\bf{\text{Solution Details:}}$ Using the properties of equality, the inequality above is equivalent to \begin{array}{l}\require{cancel} -4y-3\ge5 \\\\ -4y\ge5+3 \\\\ -4y\ge8 .\end{array} Dividing both sides by a negative number (and consequently reversing the inequality symbol), the inequality above is equivalent to \begin{array}{l}\require{cancel} -4y\ge8 \\\\ y\le\dfrac{8}{-4} \\\\ y\le-2 .\end{array}