|3x-1|>2x

Solution

∣ 3 x - 1 ∣ > 2 x

x < \frac{1}{5} or x > 1

Interval Notation

(- \infty, \frac{1}{5}) \cup (1, \infty)

Decimal Notation

x < 0.2 or x > 1

Solution steps

∣ 3 x - 1 ∣ > 2 x

Find positive and negative intervals

x < \frac{1}{3}, x \geq \frac{1}{3}

Solve the inequality for each interval

x < \frac{1}{5} or x > 1

∣ 3 x - 2 ∣ \leq 4

x^{2} - 9 < 0

2 ∣ x - 1 ∣ + ∣ 2 x - 5 ∣ - 2 ∣ x + 2 ∣ < - 8

x^{2} - ∣ 3 x - 2 ∣ > 0

∣ 9 - x ∣ < 2 - 3 x