Запишите системы линейных неравенств, эквивалентных квадратичному неравенству \( \frac{x-11}{x+5}>0{.}\) \( \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \) \( x-11\)?\( 0{ ,}\) \( x+5\)?\( 0\) или \( \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \) \( x-11\)?\( 0{ ,}\) \( x+5\)?\( 0{ .}\)
Задание

Запишите системы линейных неравенств, эквивалентных квадратичному неравенству

\(\displaystyle \frac{x-11}{x+5}>0{\small.}\)

\(\displaystyle \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \)
\(\displaystyle x-11\)[?|≤|≥|=|>|<]\(\displaystyle 0{\small ,}\)
\(\displaystyle x+5\)[?|≤|≥|=|>|<]\(\displaystyle 0\)
или
\(\displaystyle \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \)
\(\displaystyle x-11\)[?|≤|≥|=|>|<]\(\displaystyle 0{\small ,}\)
\(\displaystyle x+5\)[?|≤|≥|=|>|<]\(\displaystyle 0{\small .}\)