Algebra-1

To solve the inequality |y - 1| ≤ 6, we can break it down into two cases based on the absolute value:

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

Case 2: (y - 1) < 0
If y - 1 is less than ...