Algebra-1

To solve the inequality |x + 4| - 8 > 2, we can break it down into two cases based on the absolute value:

Case 1: (x + 4) ≥ 0
If x + 4 is greater than or equal to zero, then the absolute value term |x + 4| can be simplified to (x + 4) itself. Substituting this in the original inequality, we have:
(x + 4) - 8 > 2
x + 4 - 8 > 2
x - 4 > 2
x > 2 + 4
x > 6

Case 2: (x + 4) < 0
If x + 4 is less than zero, then...