#### Answer

$x\gt8$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
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}