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Popular >

|2x-1|>x

Solution

∣ 2 x - 1 ∣ > x

Solution

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

+2

Interval Notation

(- \infty, \frac{1}{3}) \cup (1, \infty)

Decimal Notation

x < 0.33333 \dots or x > 1

Solution steps

∣ 2 x - 1 ∣ > x

Find positive and negative intervals

x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

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

Popular Examples

2 x^{2} + 10 x + 5 = 0

simplify ((x+1)/2)^2 simplify

(\frac{x + 1}{2})^{2}

x^{2} - 5 = 4 x

simplify ((3*8.314)/2)(745-298)simplify

(\frac{3 \cdot 8.314}{2}) (745 - 298)

14 x + 4 = 11 x + 22

Frequently Asked Questions (FAQ)

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