Answer
$(-∞, -4]∪ [2, ∞)$
Work Step by Step
The inequality$ |x+1|≥3$ can be calculated as follows:
If$ |x|≥a$ then:
$x≤-a,x≥a$ … (1)
Now, apply equation (1) for expression$ |x+1|≥3$ to get
$x+1≤-3,x+1≥3$
This implies
$x≤-4,x≥2$
Hence, the solution set is$(-∞, -4]∪ [2, ∞)$.
