Answer:
-5 < x < -1
Step-by-step explanation:
2|x + 3| < 4
Case 1: x + 3 ≥ 0
If x + 3 ≥ 0, then |x + 3| = x + 3.
Substituting this into the inequality, we have:
2(x + 3) < 4
2x + 6 < 4
2x < 4 - 6
2x < -2
x < -1
Case 2: x + 3 < 0
If x + 3 < 0, then |x + 3| = -(x + 3).
Substituting this into the inequality, we have:
2(-(x + 3)) < 4
-2x - 6 < 4
-2x < 4 + 6
-2x < 10
x > -5
So, the answer is -5 < x < -1
