|x-7| < -4
Solution: Since this is a "less than" absolute value inequality, the first step is to clear the absolute value according to the pattern
|x-7| < -4
-4<x-7<4
-4+7 < x-7+7 < 4+7
3 < x <11
Then the solution to |x-7| < -4 is the interval 3 < x <11