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Popular >

|2x-1|+x<1

Solution

∣ 2 x - 1 ∣ + x < 1

Solution

0 < x < \frac{2}{3}

+2

Interval Notation

(0, \frac{2}{3})

Decimal Notation

0 < x < 0.66666 \dots

Solution steps

∣ 2 x - 1 ∣ + x < 1

Find positive and negative intervals

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

Solve the inequality for each interval

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

Merge Overlapping Intervals

0 < x < \frac{2}{3}

Popular Examples

4 x^{2} = 35 x + 9

simplify (x^9)/(x^3)simplify

\frac{x ^{9}}{x ^{3}}

2 (x + 4) = 2 x - 4

simplify (6-2i)^2 simplify

(6 - 2 i)^{2}

(x + 3)^{2} - 32 = 0

Frequently Asked Questions (FAQ)

What is |2x-1|+x<1 ?
The solution to |2x-1|+x<1 is 0<x< 2/3