Solve the absolute value inequality: |x + 12| + 5 < 27 Isolate the absolute value by subtracting 5 from both sides.

[x+12] < 22 thats the answer

-34< x<10

Step-by-step explanation:

|x + 12| + 5 < 27

Subtract 5 from both sides

|x + 12| + 5-5 < 27-5

|x + 12| < 22

Now we get positive and negative solutions to the absolute value. When we take the negative solution, we flip the inequality sign

x+12 - 22

Subtract 12 from both sides

x+12-12-22-12

x-34

-34< x<10