Answer
$\text{the interval }
\left( \dfrac{11}{3},\infty \right)
$
Work Step by Step
Using compound inequalities, the solution to the given inequality, $
3x-5\gt6 \text{ or } -x\lt-5
,$ is
\begin{array}{l}\require{cancel}
3x-5\gt6
\\\\
3x\gt6+5
\\\\
3x\gt11
\\\\
x\gt\dfrac{11}{3}
,\\\\\text{ OR }\\\\
-x\lt-5
\\\\
x\gt5
.\end{array}
Combining the two inequalities, in interval notation, the solution is $
\text{the interval }
\left( \dfrac{11}{3},\infty \right)
.$