Respuesta :

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.