Solve ||3x-9| 2|>2

Evaluate

∣ ∣ 3 x - 9 ∣ \times 2 ∣ > 2

Simplify

More Steps

6 ∣ x - 3 ∣ > 2

Divide both sides

\frac{6 ∣ x - 3 ∣}{6} > \frac{2}{6}

Divide the numbers

∣ x - 3 ∣ > \frac{2}{6}

Cancel out the common factor 2

∣ x - 3 ∣ > \frac{1}{3}

Separate the inequality into 2 possible cases

x - 3 > \frac{1}{3} x - 3 < - \frac{1}{3}

Solve the inequality for x

More Steps

x > \frac{10}{3} x - 3 < - \frac{1}{3}

Solve the inequality for x

More Steps

x > \frac{10}{3} x < \frac{8}{3}

Solution

x \in (- \infty, \frac{8}{3}) \cup (\frac{10}{3}, + \infty)