Question

| 3 - (x-1) | >_ 8 solve inequality

Answer 1

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