Answer
$(-∞, -7]∪ [-3, ∞)$
Work Step by Step
The inequality$ |x+5|≥2$ can be calculated as follows:
If$ |x|≥a$, then
$x≤-a,x≥a$ … (1)
Now, apply equation (1) for the expression$ |x+5|≥2$ to get
$x+5≤-2,x+5≥2$
This implies
$x≤-7,x≥-3$
Hence, the solution set is$(-∞ -7]∪ [-3, ∞)$.