Answer: x > 6, x < -8
Subtract 4 from both sides.
−3∣x+1∣<−17−4
Then simplify -17 - 4 to -21.
−3∣x+1∣<−21
Divide both sides by −3.
|x + 1| > -21/-3
Two negatives make a positive.
|x + 1| > 21/3
simplify 21/3 to 7
Break down the problem into these 2 equations.
x + 1 > 7
-(x + 1) > 7
Solve the 1st equation: x + 1 > 7
x > 6
Solve the 2nd equation: -(x + 1) > 7
x < -8
last collect all solutions
x > 6, x < -8
