Algebra-1

To solve the inequality |x + 3| > 8, we can break it down into two cases based on the absolute value:

Case 1: (x + 3) ≥ 0
If x + 3 is greater than or equal to zero, then the absolute value term |x + 3| can be simplified to (x + 3) itself. Substituting this in the original inequality, we have:
(x + 3) > 8
x + 3 > 8
x > 8 - 3
x > 5

Case 2: (x + 3) < 0
If x + 3 is less than zero, then...