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Popular >

|(2x-1)/(1-x)|>3

Solution

\frac{2 x - 1}{1 - x} > 3

Solution

\frac{4}{5} < x < 1 or 1 < x < 2

+2

Solution steps

\frac{2 x - 1}{1 - x} > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

\frac{2 x - 1}{1 - x} < - 3 or \frac{2 x - 1}{1 - x} > 3

\frac{2 x - 1}{1 - x} < - 3 or \frac{2 x - 1}{1 - x} > 3

\frac{4}{5} < x < 1 or 1 < x < 2

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Frequently Asked Questions (FAQ)

What is |(2x-1)/(1-x)|>3 ?
The solution to |(2x-1)/(1-x)|>3 is 4/5 <x<1\lor 1<x<2