Answer:
D. x-4>-9 or x-4<9
Step-by-step explanation:
To solve this inequality, you have to isolate the term of x from one side of the equation.
|x-4|<9
-9<x-4<9
x-4>-9
First, add by 4 from both sides.
x-4+4>-9+4
Solve.
-9+4=-5
x>-5
x-4<9
Add by 4 from both sides.
x-4+4<9+4
Solve.
Add the numbers from left to right.
9+4=13
x<13
- Therefore, the correct answer is D. "x-4>-9 or x-4<9".
I hope this helps. Let me know if you have any questions.
