Question

Solve 4 - 3|x + 1| < -17

Answer 1

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