Calculate: -6 < 2x+3 <-1

Expression: $-6 < 2x+3 < -1$

Subtract $3$ from each part of the inequality

$-9 < 2x < -4$

Divide each part of the inequality by $2$

$\begin{align*}&-\frac{ 9 }{ 2 } < x < -2 \\&\begin{array} { l }x \in \langle-\frac{ 9 }{ 2 }, -2\rangle\end{array}\end{align*}$