\[\frac{x - 2}{x + 4} \geq 2^{\backslash x + 4}\]
\[x - 2 - 2x - 8 = - x - 10\]
\[- \frac{x + 10}{x + 4} \geq 0\]
\[Ответ:x \in \lbrack - 10; - 4).\]