Answer
$(-∞,-4)U(-2,∞)$
Work Step by Step
We are given that $|x+3|\gt1$. Therefore, $x+3\gt1$ or $x+3\lt-1$.
We can solve both of these inequalities to find solutions.
For $x+3\gt1$, subtract 3 from both sides.
$x\gt-2$
For $x+3\lt-1$, subtract 3 from both sides.
$x\lt-4$
Therefore, the solution set consists of all values of x that are less than -4 or greater than -2.
