Answer :
4|6 – 3x| + 8 < 20
8 is adding on the left, then it will subtract on the right
4|6 – 3x| < 20 - 8
4|6 – 3x| < 12
4 is multiplying on the left, then it will divide on the right
|6 – 3x| < 12/4
|6 – 3x| < 3
Now, we have two options:
6 - 3x < 3 or 6 - 3x > -3
-3x < 3 - 6 -3x > -3 - 6
-3x < -3 -3x > -9
x > (-3)/(-3) x < (-9)/(-3)
x > 1 x < 3
solution: 1 < x < 3