Answer:
Option C.
Step-by-step explanation:
The given absolute value inequality is
[tex]|x+12|+5<27[/tex]
Isolate the absolute value by subtracting 5 from both sides.
[tex]|x+12|+5-5<27-5[/tex]
[tex]|x+12|+0<22[/tex]
[tex]|x+12|<22[/tex]
Therefore, the correct option is C.
We can further solve this, to find the solution of the given inequality.
[tex]-22<x+12<22[/tex]
Subtract 12 from each sides.
[tex]-22-12<x+12-12<22-12[/tex]
[tex]-34<x<10[/tex]
The solution of given inequality is [tex]-34<x<10[/tex].
