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Popular >

4/(x+1)> 2/(x+3)

Solution

\frac{4}{x + 1} > \frac{2}{x + 3}

Solution

- 5 < x < - 3 or x > - 1

+1

Interval Notation

(- 5, - 3) \cup (- 1, \infty)

Solution steps

\frac{4}{x + 1} > \frac{2}{x + 3}

Rewrite in standard form

\frac{2 x + 10}{( x + 1 ) ( x + 3 )} > 0

Factor

\frac{2 x + 10}{( x + 1 ) ( x + 3 )} : \frac{2 ( x + 5 )}{( x + 1 ) ( x + 3 )}

\frac{2 ( x + 5 )}{( x + 1 ) ( x + 3 )} > 0

Divide both sides by

2

\frac{\frac{2 ( x + 5 )}{( x + 1 ) ( x + 3 )}}{2} > \frac{0}{2}

Simplify

\frac{x + 5}{( x + 1 ) ( x + 3 )} > 0

Identify the intervals

- 5 < x < - 3 or x > - 1

Popular Examples

9 x^{2} \geq 18 x + 7

25 x^{2} = 144

3 x + 1 = 3 x - 1

2 (x + 2)^{2} - 5 = 93

c - 159 < - 114

Frequently Asked Questions (FAQ)

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