Algebra-1

To solve the inequality -3 + |n-2| > 5, we can break it down into two cases based on the absolute value:

Case 1: (n - 2) ≥ 0
If n - 2 is greater than or equal to zero, then the absolute value term |n - 2| can be simplified to (n - 2) itself. Substituting this in the original inequality, we have:
-3 + (n - 2) > 5
n - 2 - 3 > 5
n - 5 > 5
n > 5 + 5
n > 10

Case 2: (n - 2) < 0
If n - 2 is less than zero, t...