Answer
Interval Notation: $(-∞,-24]∪[4,∞)$
Graph:
Work Step by Step
$|x+10| \geq 14$
By the absolute value inequality property, $|x+10| \geq 14$ is equivalent to
$x+10 \leq -14$ or $x+10 \geq 14$
Using inequality properties, add $-10$ to both sides of the inequalities.
$x+10-10 \leq -14-10$ or $x+10-10 \geq 14-10$
$x \leq -24$ or $x \geq 4$
Interval Notation: $(-∞,-24]∪[4,∞)$