Запишите системы линейных неравенств, эквивалентных квадратичному неравенству \( (x-7)(x-4)>0{.}\) \( \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \) \( x-7\)?\( 0{ ,}\) \( x-4\)?\( 0\) или \( \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \) \( x-7\)?\( 0{ ,}\) \( x-4\)?\( 0{ .}\)
Задание

Запишите системы линейных неравенств, эквивалентных квадратичному неравенству

\(\displaystyle (x-7)(x-4)>0{\small.}\)

\(\displaystyle \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \)
\(\displaystyle x-7\)[?|≤|≥|=|>|<]\(\displaystyle 0{\small ,}\)
\(\displaystyle x-4\)[?|≤|≥|=|>|<]\(\displaystyle 0\)
или
\(\displaystyle \left\{ \vphantom{\begin{aligned} 1\\[10px] 1 \end{aligned}} \right. \)
\(\displaystyle x-7\)[?|≤|≥|=|>|<]\(\displaystyle 0{\small ,}\)
\(\displaystyle x-4\)[?|≤|≥|=|>|<]\(\displaystyle 0{\small .}\)