Запишите системы линейных неравенств, эквивалентных квадратичному неравенству \( \frac{x-5}{x+13}>0{.}\) \( \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \) \( x-5\)?\( 0{ ,}\) \( x+13\)?\( 0\) или \( \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \) \( x-5\)?\( 0{ ,}\) \( x+13\)?\( 0{ .}\)
Задание

Запишите системы линейных неравенств, эквивалентных квадратичному неравенству

\(\displaystyle \frac{x-5}{x+13}>0{\small.}\)

\(\displaystyle \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \)
\(\displaystyle x-5\)[?|≤|≥|=|>|<]\(\displaystyle 0{\small ,}\)
\(\displaystyle x+13\)[?|≤|≥|=|>|<]\(\displaystyle 0\)
или
\(\displaystyle \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \)
\(\displaystyle x-5\)[?|≤|≥|=|>|<]\(\displaystyle 0{\small ,}\)
\(\displaystyle x+13\)[?|≤|≥|=|>|<]\(\displaystyle 0{\small .}\)