Solve for: -8 < 3x-9 < 15

Expression: $-8 < 3x-9 < 15$

Separate the compound inequality into two inequalities

$\begin{array} { l }3x-9 > -8,\\3x-9 < 15\end{array}$

Solve the inequality for $x$

$\begin{array} { l }x > \frac{ 1 }{ 3 },\\3x-9 < 15\end{array}$

Solve the inequality for $x$

$\begin{array} { l }x > \frac{ 1 }{ 3 },\\x < 8\end{array}$

Find the intersection

$\begin{align*}&x \in \langle\frac{ 1 }{ 3 }, 8\rangle\end{align*}$