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

3 (x + 2) - 1 = 3 x + 1

x^{2} + (x + 21)^{2} = 5 1^{2}

7 x^{2} = 25

n^{2} - 9 n + 8

- 4 x^{2} + 36 = 0

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