Решите неравенство: (x-20)/(x+6)<0

Решите задачу:

$\frac{x-20}{x+6}\ \textless \ 0 \\ \\ x+6 \neq 0\rightarrow x \neq -6\rightarrow x\in(-\infty;-6)\vee (-6;+\infty) \\ \\ 1) x-20\ \textless \ 0 \rightarrow x\ \textless \ 20 \\ x+6\ \textgreater \ 0 \rightarrow x\ \textgreater \ -6 \iff -6\ \textless \ x\ \textless \ 20 \\ \\ 2)x-20\ \textgreater \ 0 \rightarrow x\ \textgreater \ 20 \\ x+6\ \textless \ 0 \rightarrow x\ \textless \ -6 \iff x\in \o \\ \\ \\ x\in (-6;20) \\$