[tex]\displaystyle \\
(7- \sqrt{10} )(2x-7)\ \textless \ 0 ~~~~~|: (7- \sqrt{10} )\\ \\
2x-7 \ \textless \ 0 \\
\text{Nu s-a schimbat sensul inegalitatii deoarece }(7- \sqrt{10}) \ \textgreater \ 0 \\ \\
2x-7 \ \textless \ 0 ~~\Longrightarrow~~ 2x \ \textless \ 7 ~~\Longrightarrow~~ x\ \textless \ \frac{7}{2} ~~\Longrightarrow~~\boxed{x \in \Big(-\infty, ~ \frac{7}{2}\Big)}[/tex]