Algebra-1

To solve the inequality |v+5| - 6 < -5, we can break it down into two cases based on the absolute value:

Case 1: (v + 5) ≥ 0
If v + 5 is greater than or equal to zero, then the absolute value term |v + 5| can be simplified to (v + 5) itself. Substituting this in the original inequality, we have:
(v + 5) - 6 < -5
v + 5 - 6 < -5
v - 1 < -5
v < -5 + 1
v < -4

Case 2: (v + 5) < 0
If v + 5 is less than zero, then...