Solve |4-3x|-6<-4

Evaluate

∣ 4 - 3 x ∣ - 6 < - 4

Rearrange the terms

∣ 4 - 3 x ∣ < 2

Separate the inequality into 2 possible cases

{4 - 3 x < 2 4 - 3 x > - 2

Solve the inequality for x

More Steps

{x > \frac{2}{3} 4 - 3 x > - 2

Solve the inequality for x

More Steps

{x > \frac{2}{3} x < 2

Solution

\frac{2}{3} < x < 2

Alternative Form

x \in (\frac{2}{3}, 2)