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Popular >

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

Solution

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

Solution

1 < x < 2 or 2 < x < 5

+1

Interval Notation

(1, 2) \cup (2, 5)

Solution steps

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

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

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

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

1 < x < 2 or 2 < x < 5

Popular Examples

2 x^{2} + 14 x + 2 = 0

simplify (sqrt(10))/(\sqrt[4]{8)}simplify

simplify 4/5+1/4 simplify

\frac{4}{5} + \frac{1}{4}

3 x^{2} = - x + 8

factor 4v^2-4v-8 factor

4 v^{2} - 4 v - 8

Frequently Asked Questions (FAQ)

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