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Popular >

|2x-1|<x

Solution

∣ 2 x - 1 ∣ < x

Solution

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

+2

Interval Notation

(\frac{1}{3}, 1)

Decimal Notation

0.33333 \dots < 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

\frac{1}{3} < x < \frac{1}{2} or \frac{1}{2} \leq x < 1

Merge Overlapping Intervals

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

Popular Examples

3 x - 15 < 120

simplify 3/(5/2)simplify

\frac{3}{\frac{5}{2}}

simplify-6/((3(-1)+1)^2)simplify

- \frac{6}{( 3 ( - 1 ) + 1 ) ^{2}}

(1+x)/2 <= (x-1)/3

\frac{1 + x}{2} \leq \frac{x - 1}{3}

∣ - 3 x + 4 ∣ = ∣ 5 x - 1 ∣

Frequently Asked Questions (FAQ)

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