Algebra-1

To solve the inequality |y - 4| ≥ 8, we can break it down into two cases based on the absolute value:

Case 1: (y - 4) ≥ 0
If y - 4 is greater than or equal to zero, then the absolute value term |y - 4| can be simplified to (y - 4) itself. Substituting this in the original inequality, we have:
(y - 4) ≥ 8
y - 4 ≥ 8
y ≥ 8 + 4
y ≥ 12

Case 2: (y - 4) < 0
If y - 4 is less than ze...