Answer
$\left(-\infty,6 \right)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
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)
.$
