Answer
$d <-10 $ or $d > 0$
Work Step by Step
Given \begin{equation}
\begin{aligned}
-2|d+5|<-10.
\end{aligned}
\end{equation} The inequality can be rewritten as: \begin{equation}
\begin{aligned}
-2|d+5|&<-10\\
|d+5|&>5.
\end{aligned}
\end{equation} This an absolute value inequality. The solution is two fold. Solve each of the following inequalities. \begin{equation}
\begin{aligned}
d+5&>5\\
d&>0\\
\textbf{or}\\
d+5&<-5\\
d&<-5-5\\
d&<-10.
\end{aligned}
\end{equation} The solution is $d <-10 $ or $d > 0$.
