Answer:
-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 and 5x+12 >-31/4
Subtract 12 from each side
5x+12-12 < 31/4-12 and 5x+12-12 >-31/4-12
5x < 31/4-12 and 5x >-31/4-12
Get a common denominator of 4
5x < 31/4-48/4 and 5x >-31/4-48/4
5x < -17/4 and 5x > -79/4
Divide each side by 5
x < -17/20 and x >-79/20
-79/20 < x< -17/20
