Answer
$x\gt 2$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
3x+4\gt x+8
,$ is
\begin{array}{l}\require{cancel}
3x-x\gt 8-4
\\\\
2x\gt 4
\\\\
x\gt \dfrac{4}{2}
\\\\
x\gt 2
.\end{array}