Question

3|x-1| >= 12
A. X>= -3 or x<= 5
B.X<= -3 or x>= 5
C. X>= 5
D. X<= -3 or x>=5

Answer 1

3|x-1| ≥ 12

|x-1| ≥ 4. Remove the absolute signs:

x - 1 ≥ 4 → x≥ 5
and x-1 ≤ -4 → x≤ - 3

Then D. x ≤ -3 or x ≥ 5