∣x−7∣<9
To solve this inequality, we need to consider two cases:
Case 1: x - 7 < 9
This can be simplified to x < 16.
Case 2: -(x - 7) < 9
This can be simplified to -x + 7 < 9, then x > -2.
Therefore, the solution to the inequality is -2 < x < 16.