when
|a|=b
assume
a=b and
-a=b
for asbsolute value
|a|≤b
assume
a≤b
a≥-b
|3x-4|+5≤27
minus 5 both sides
|3x-4|≤22
so
3x-4≤22
3x-4≥-22
3x-4≤22
3x≤26
x≤26/3
3x-4≥-22
3x≥-18
x≥-6
combine
x≥-6 or x≤26/3
anything in those 2 ranges are the answer
basically
anything in the range, r, such that
-6<r<26/3
x≥-6 or x≤26/3 is answer