Question

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

Answer 1

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   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

Answer 2

Answer:

[x+12] < 22 thats the answer

Step-by-step explanation: