3 + 2|-4x + 5| ≤ 11
-3 -3
----------------------
2|-4x + 5| ≤ 8
Divide both sides by 2
|-4x + 5| ≤ 4
-4 ≤ -4x + 5 ≤ 4
-5 -5 -5
------------------
-9 ≤ -4x ≤ -1
Dividing through by -4 reverses the inequalities
≥ x ≥
≥ x ≥
Which can be written as
≤ x ≤
[ , ]
Edwin