compare the process of solving |x - 1|+1 < 15 to that of solving |x - 1|+1 > 15.

Explanation:

Step1: Solve |x - 1|+1 < 15

First, isolate the absolute - value term. Subtract 1 from both sides: |x - 1|<14. Then, rewrite as a compound inequality: - 14<x - 1<14. Add 1 to all parts: - 13<x<15.

Step2: Solve |x - 1|+1 > 15

Isolate the absolute - value term. Subtract 1 from both sides: |x - 1|>14. Then, rewrite as two separate inequalities: x - 1>14 or x - 1<-14. Solve each: x>15 or x<-13.

Step3: Compare the processes

In both cases, the first step is to isolate the absolute - value term. For |x - 1|+1 < 15, after isolating the absolute - value, we rewrite it as a compound inequality. For |x - 1|+1 > 15, after isolating the absolute - value, we rewrite it as two separate inequalities.

Answer:

In both cases, the first step is to isolate the absolute - value term. For |x - 1|+1 < 15, we rewrite the resulting absolute - value inequality as a compound inequality. For |x - 1|+1 > 15, we rewrite the resulting absolute - value inequality as two separate inequalities.