\[(p - 1)x^{2} + (p - 2)x + 3p - 1 \geq 0\]
\[Не\ имеет\ решений\ при:\]
\[\left\{ \begin{matrix} p - 1 < 0 \\ D < 0\ \ \ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ }\left\{ \begin{matrix} p < 1 \\ D < 0 \\ \end{matrix} \right.\ \]
\[- 11p^{2} + 12p < 0\]
\[- p(11p - 12) < 0\]
\[p(11p - 12) > 0\]
\[\left\{ \begin{matrix} p < 1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ p(11p - 12) > 0 \\ \end{matrix} \right.\ \]
\[Ответ:при\ p < 0.\]