Answer: (6/5 , 2)
Steps: Move the constant to the right
|5x-8| < 6-4
Subtract the numbers
|5x-8|<2
Separate into possible cases
5x-8<2 , 5x-8 ≥ 0
-(5x-8)<2 , 5x-8< 0
Solve the inequality for x
x<2 , x ≥ 8/5
x>6/5 , x<8/5
Find the intersection
x ∑ [8/5 , 2]
x ∑ [6/5 ,8/5]
Find the union and you get
(6/5, 2)
Hope this helps ʕ•ᴥ•ʔ
