Решите неравенство log1/4(x+10) больше -1/2

[latex] log_{ \frac{1}{4} } (x+10) \geq - \frac{1}{2} [/latex] [latex]- \frac{1}{2} = log_{ \frac{1}{4} } ( \frac{1}{4} ) ^{- \frac{1}{2} } = log_{ \frac{1}{4} } 2[/latex] [latex] log_{ \frac{1}{4} } (x+10) \geq log_{ \frac{1}{4} } 2[/latex] основание логарифма а=1/4 [latex]0\ \textless \ \frac{1}{4} \ \textless \ 1[/latex], знак неравенства меняем [latex] \left \{ {{x+10 \leq 2} \atop {x+10\ \textgreater \ 0}} \right. , \left \{ {{x \leq -8} \atop {x\ \textgreater \ -10}} \right. [/latex] x∈(-10;-8]