Answer
$x>-2$
Work Step by Step
Set $y=\frac{10}{x+2}$ and create a table of values of $x$ and $y$ for some values of $x$.
The solution to the inequality is the values of $x$ which satisfies $y>0$.
$\begin{matrix}
\hline
x&y\\
\hline
-4&-5.0\\
-3&-10.0\\
-2&\text{Error}\\
-1&10.0\\
0&5.0\\
1&3.3\\
\hline
\end{matrix}$
In the table, we get $y<0$ for $x<-2$ and $y>0$ for $x>-2$.
Thus, the solution to the inequality is $x>-2$.
