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Popular >

5/(x-3)> 3/(x+1)

Solution

\frac{5}{x - 3} > \frac{3}{x + 1}

Solution

- 7 < x < - 1 or x > 3

+1

Interval Notation

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

Solution steps

\frac{5}{x - 3} > \frac{3}{x + 1}

Rewrite in standard form

\frac{2 x + 14}{( x - 3 ) ( x + 1 )} > 0

Factor

\frac{2 x + 14}{( x - 3 ) ( x + 1 )} : \frac{2 ( x + 7 )}{( x - 3 ) ( x + 1 )}

\frac{2 ( x + 7 )}{( x - 3 ) ( x + 1 )} > 0

Divide both sides by

2

\frac{\frac{2 ( x + 7 )}{( x - 3 ) ( x + 1 )}}{2} > \frac{0}{2}

Simplify

\frac{x + 7}{( x - 3 ) ( x + 1 )} > 0

Identify the intervals

- 7 < x < - 1 or x > 3

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Frequently Asked Questions (FAQ)

What is 5/(x-3)> 3/(x+1) ?
The solution to 5/(x-3)> 3/(x+1) is -7<x<-1\lor x>3