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Popular >

|3x-1|>2x

Solution

∣ 3 x - 1 ∣ > 2 x

Solution

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

+2

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

Popular Examples

∣ 3 x - 2 ∣ \leq 4

x^{2} - 9 < 0

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

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

x^{2} - ∣ 3 x - 2 ∣ > 0

∣ 9 - x ∣ < 2 - 3 x

Frequently Asked Questions (FAQ)

What is |3x-1|>2x ?
The solution to |3x-1|>2x is x< 1/5 \lor x>1