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Popular >

5/(x-6)> 3/(x+2)

Solution

\frac{5}{x - 6} > \frac{3}{x + 2}

Solution

- 14 < x < - 2 or x > 6

+1

Solution steps

\frac{5}{x - 6} > \frac{3}{x + 2}

Rewrite in standard form

\frac{2 x + 28}{( x - 6 ) ( x + 2 )} > 0

Factor

\frac{2 x + 28}{( x - 6 ) ( x + 2 )} : \frac{2 ( x + 14 )}{( x - 6 ) ( x + 2 )}

\frac{2 ( x + 14 )}{( x - 6 ) ( x + 2 )} > 0

Divide both sides by

2

\frac{\frac{2 ( x + 14 )}{( x - 6 ) ( x + 2 )}}{2} > \frac{0}{2}

Simplify

\frac{x + 14}{( x - 6 ) ( x + 2 )} > 0

Identify the intervals

- 14 < x < - 2 or x > 6

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Frequently Asked Questions (FAQ)

What is 5/(x-6)> 3/(x+2) ?
The solution to 5/(x-6)> 3/(x+2) is -14<x<-2\lor x>6