Answer:
We can start solving the inequality by isolating the absolute value term:
3|x + 1| - 2 < 4
3|x + 1| < 6
|x + 1| < 2
Next, we can split the inequality into two cases, depending on whether the expression inside the absolute value is positive or negative:
x + 1 < 2 or -(x + 1) < 2
Solving for x in each case:
x < 1 or -x - 1 < 2
x < 1 or -x < 3
x < 1 or x > -3
Therefore, the solution to the inequality is the set of all x that satisfy either x < 1 or x > -3, which can be written as:
(-∞, -3) U (1, ∞)
give thanks, your welcome <3
Explanation: