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

-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   and         x+12 >-22

Subtract 12 from both sides

x+12-12<22-12     x+12-12 >-22-12

x<10             and         x>-34

-34< x<10

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

32

step-by-step explanation: