#### Answer

$\color{blue}{(4, 6)}$

#### Work Step by Step

Subtract $1$ to each part:
\begin{array}{ccccc}
&-11-1 &\gt &-3x+1-1 &\gt &-17-1
\\&-12 &\gt &-3x &\gt &-18
\end{array}
Divide each part by $-3$.
Note that since a negative number is divided to the inequality, the inequality symbol will be reversed.
\begin{array}{ccccc}
\\&\frac{-12}{-3} &\lt &\frac{-3x}{-3} &\lt &\frac{-18}{-3}
\\&4 &\lt &x &\lt &6
\end{array}
Thus, the solution to the given inequality is:
$\color{blue}{(4, 6)}$