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Popular >

4/(x-6)> 2/(x+4)

Solution

\frac{4}{x - 6} > \frac{2}{x + 4}

Solution

- 14 < x < - 4 or x > 6

+1

Solution steps

\frac{4}{x - 6} > \frac{2}{x + 4}

Rewrite in standard form

\frac{2 x + 28}{( x - 6 ) ( x + 4 )} > 0

Factor

\frac{2 x + 28}{( x - 6 ) ( x + 4 )} : \frac{2 ( x + 14 )}{( x - 6 ) ( x + 4 )}

\frac{2 ( x + 14 )}{( x - 6 ) ( x + 4 )} > 0

Divide both sides by

2

\frac{\frac{2 ( x + 14 )}{( x - 6 ) ( x + 4 )}}{2} > \frac{0}{2}

Simplify

\frac{x + 14}{( x - 6 ) ( x + 4 )} > 0

Identify the intervals

- 14 < x < - 4 or x > 6

Popular Examples

∣ x + 5 ∣ = 3

simplify sqrt(x^7)simplify

x^{7}

x^{2} - x \geq 2

(x+3)/(x+1)>= 0

\frac{x + 3}{x + 1} \geq 0

simplify (4/3)^{-2}(1/5)^3 simplify

(\frac{4}{3})^{- 2} (\frac{1}{5})^{3}

Frequently Asked Questions (FAQ)

What is 4/(x-6)> 2/(x+4) ?
The solution to 4/(x-6)> 2/(x+4) is -14<x<-4\lor x>6