Answer:
x≥12, x≤-4
Step-by-step explanation:
since there's an absolute value in this inequality, we have to solve it in two ways. 1. 3-(x-1) is greater than or equal to zero, 2. 3-(x-1) is smaller than zero
3-(x-1) is greater than or equal to 0
3-(x-1)≥8
3-x+1≥8
-x+4≥8
-x≥4
x≤-4
3-(x-1) is smaller than 0
-(3-(x-1))≥8
-(3-x+1)≥8
-3+x-1≥8
x≥12