Answer:
x - 4 > -9 or x -4 < 9
Step-by-step explanation:
Let's see the definition of absolute value inequality.
i) If lxl < b, then -b < x < b
ii) If lxl > b, then x > b or x < -b
We are given the inequality lx - 4l<9
Here we have to use the first case.
Using the above definition of inequality, we can write the given inequality as follows:
-9 < (x - 4) < 9
So the third option is correct.
x - 4 > -9 or x -4 < 9
