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

$\left(-\infty,6 \right)$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given inequality, $7+4y\lt31 .$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given equation is equivalent to \begin{array}{l}\require{cancel} 7+4y\lt31 \\\\ 4y\lt31-7 \\\\ 4y\lt24 \\\\ y\lt\dfrac{24}{4} \\\\ y\lt6 .\end{array} Hence, the solution set is $\left(-\infty,6 \right) .$