## Intermediate Algebra: Connecting Concepts through Application

$x\gt8$
$\bf{\text{Solution Outline:}}$ To solve the given inequality, $4x-20\gt12 ,$ use the properties of inequality to isolate the variable. Then, graph the solution set. In the graph, a hollowed dot is used for $\lt$ or $\gt.$ A solid dot is used for $\le$ or $\ge.$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given is equivalent to \begin{array}{l}\require{cancel} 4x-20\gt12 \\\\ 4x\gt12+20 \\\\ 4x\gt32 \\\\ x\gt\dfrac{32}{4} \\\\ x\gt8 .\end{array}