Algebra-1

To solve the inequality |x - 10| - 7 > -23, we can break it down into two cases based on the absolute value:

Case 1: (x - 10) ≥ 0
If x - 10 is greater than or equal to zero, then the absolute value term |x - 10| can be simplified to (x - 10) itself. Substituting this in the original inequality, we have:
(x - 10) - 7 > -23
x - 17 > -23
x > -23 + 17
x > -6

Case 2: (x - 10) < 0
If x - 10 is less than zero, then the ab...