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Popular >

2x> 4/(x+1)

Solution

2 x > \frac{4}{x + 1}

Solution

- 2 < x < - 1 or x > 1

+1

Interval Notation

(- 2, - 1) \cup (1, \infty)

Solution steps

2 x > \frac{4}{x + 1}

Rewrite in standard form

\frac{2 x ( x + 1 ) - 4}{x + 1} > 0

Factor

\frac{2 x ( x + 1 ) - 4}{x + 1} : \frac{2 ( x - 1 ) ( x + 2 )}{x + 1}

\frac{2 ( x - 1 ) ( x + 2 )}{x + 1} > 0

Divide both sides by

2

\frac{\frac{2 ( x - 1 ) ( x + 2 )}{x + 1}}{2} > \frac{0}{2}

Simplify

\frac{( x - 1 ) ( x + 2 )}{x + 1} > 0

Identify the intervals

- 2 < x < - 1 or x > 1

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Frequently Asked Questions (FAQ)

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