Answer
$(-\infty,\infty)$.
The graph is shown below.
Work Step by Step
The given expression is
$\Rightarrow \left | x+6\right |\gt-10$
Rewrite the inequality without absolute value bars.
$\Rightarrow x+6\lt-(-10)$ or $x+6\gt-10$
Solve each inequality separately.
$\Rightarrow x+6\lt10$ or $x+6\gt-10$
Subtract $6$ from all sides.
$\Rightarrow x+6-6\lt10-6$ or $x+6-6\gt-10-6$
Simplify.
$\Rightarrow x\lt4$ or $x\gt-16$
The solution set is less than $4$ or greater than $-16$.
The interval notation is
$(-\infty,4)\cup(-16,\infty)=(-\infty,\infty)$.
