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Popular >

|x-1|<x

Solution

∣ x - 1 ∣ < x

Solution

x > \frac{1}{2}

+2

Interval Notation

(\frac{1}{2}, \infty)

Decimal Notation

x > 0.5

Solution steps

∣ x - 1 ∣ < x

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

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

Merge Overlapping Intervals

x > \frac{1}{2}

Popular Examples

x^{2} - 2 x - 4 = 0

simplify (4/9)^{3/2}simplify

(\frac{4}{9})^{\frac{3}{2}}

simplify 2sqrt(5)*5sqrt(5)simplify

25 \cdot 55

4x+3x-7=60-2x-13

4 x + 3 x - 7 = 60 - 2 x - 13

7 (y + 4.5) = 32.5

Frequently Asked Questions (FAQ)

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