Solve |x + 1/3| > 8/3

Evaluate

x + \frac{1}{3} > \frac{8}{3}

Simplify

More Steps

\frac{1}{3} ∣ 3 x + 1 ∣ > \frac{8}{3}

Rewrite the expression

\frac{∣ 3 x + 1 ∣}{3} > \frac{8}{3}

Multiply both sides

∣ 3 x + 1 ∣ > 8

Separate the inequality into 2 possible cases

3 x + 1 > 8 3 x + 1 < - 8

Solve the inequality for x

More Steps

x > \frac{7}{3} 3 x + 1 < - 8

Solve the inequality for x

More Steps

x > \frac{7}{3} x < - 3

Solution

x \in (- \infty, - 3) \cup (\frac{7}{3}, + \infty)