Answer:
-1 < x < 9
Explanation:
Eliminate the outer absolute value symbol.
-3 < |x -4| -2 < 3
Add 2
-1 < |x -4| < 5
We know that no absolute value can be negative, so this is fully equivalent to ...
|x -4| < 5
Eliminate the absolute value symbol.
-5 < x -4 < 5
Add 4
-1 < x < 9
___
For the graph, we graph the inequality ...
||x -4| -2| -3 < 0
The zero crossings are easy to find in this graphing calculator.