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Popular >

8/(x-3)> 6/(x-1)

Solution

\frac{8}{x - 3} > \frac{6}{x - 1}

Solution

- 5 < x < 1 or x > 3

+1

Interval Notation

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

Solution steps

\frac{8}{x - 3} > \frac{6}{x - 1}

Rewrite in standard form

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

Factor

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

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

Divide both sides by

2

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

Simplify

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

Identify the intervals

- 5 < x < 1 or x > 3

Popular Examples

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3 x^{2} + 2 x

46-46x=(7x+3)(x-1)

46 - 46 x = (7 x + 3) (x - 1)

Frequently Asked Questions (FAQ)

What is 8/(x-3)> 6/(x-1) ?
The solution to 8/(x-3)> 6/(x-1) is -5<x<1\lor x>3