What is 2/(x+6)>(-3)/(x-3) ?

The solution to 2/(x+6)>(-3)/(x-3) is -6 3

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

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

- 6 < x < - \frac{12}{5} or x > 3

Interval Notation

(- 6, - \frac{12}{5}) \cup (3, \infty)

Decimal Notation

- 6 < x < - 2.4 or x > 3

Solution steps

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

Rewrite in standard form

\frac{5 x + 12}{( x + 6 ) ( x - 3 )} > 0

Identify the intervals

- 6 < x < - \frac{12}{5} or x > 3

(24 3^{2})^{\frac{1}{10}}

3 x^{2} + 5 x = 4

6 - x = x^{2}

x^{2} - 10 x + 25 = 35

d - 5 < 1

What is 2/(x+6)>(-3)/(x-3) ?
The solution to 2/(x+6)>(-3)/(x-3) is -6<x<-12/5 \lor x>3