convert to interval notation and graph

Question

|2(x-1)+4|<=8

Answer 1

This can be changed to -8 ≤ 2(x-1)+4 ≤ 8 and then by dividing by two we have

-4 ≤ (x-1)+2≤ 4  or  -4 ≤ x+1 ≤ 4  and finally -5 ≤ x ≤ 3.

 

Interval Notation: [-5,3]