Solve the inequality:

-4| 5x+12| - 13> - 44

-79/20 < x< - 17/20

Step-by-step explanation:

-4| 5x+12| - 13> - 44

The first step is to add 13 to each side

-4| 5x+12| - 13+13> - 44+13

-4| 5x+12| > - 31

Divide each side by - 4. Remember when dividing by a negative to flip the inequality

-4/-4| 5x+12| < - 31/-4

| 5x+12| < 31/4

Now we will have 2 equations, one positive and one negative. Remember to flip the inequality for the negative

5x+12 - 31/4

Subtract 12 from each side

5x+12-12 - 31/4-12

5x - 31/4-12

Get a common denominator of 4

5x - 31/4-48/4

5x - 79/4

Divide each side by 5

x - 79/20

-79/20 < x< - 17/20