Question

Решите систему линейных неравенств {2x-1>0;
{15-3х>0;

Answer 1

{2x-1>0;
{15-3x>0


{2x>1;
{-3x>-15


{x>0,5;
{x<5

Ответ: (0,5;5).

Answer 2

$\left \{ {{2x-1\ \textgreater \ 0} \atop {15-3x\ \textgreater \ 0}} \right. \left \{ {{2x\ \textgreater \ 1} \atop {-3x\ \textgreater \ -15}} \right. \left \{ {{x\ \textgreater \ 0.5} \atop {3x\ \textless \ 15}} \right. \left \{ {{x\ \textgreater \ 0.5} \atop {x\ \textless \ 5}} \right.$

x ∈ $(0.5;5)$