Question

Как решить неравенство с модулем: |5х-6|<3

Answer 1

$|5x-6|\ \textless \ 3$
$5x-6\ \textless \ 3$
$5x\ \textless \ 9$
$x\ \textless \ 1\frac{4}{5}$

$5x-6\ \textgreater \ -3$
$5x\ \textgreater \ 3$
$x\ \textgreater \ \frac{3}{5}$

Ответ:$( \frac{3}{5}; 1\frac{4}{5} )$

Answer 2

$|5x-6|\ \textless \ 3 \\ \\ 5x-6\ \textless \ 3 \\ 5x-6\ \textgreater \ -3 \\ \\ 5x\ \textless \ 3+6 \\ 5x\ \textgreater \ -3+6$

$5x\ \textless \ 9 \\ 5x\ \textgreater \ 3 \\ \\ x\ \textless \ 9:5 \\ x\ \textgreater \ 3:5 \\ \\ x\ \textless \ 1.8\\ x\ \textgreater \ 0.6 \\ \\ x\in (0.6;1.8)$