\(\boxed{\text{461.}\text{\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\)
\[\textbf{а)}\ (4;2):\ \]
\[\left\{ \begin{matrix} 4^{2} - 2 \cdot 2 = 16 - 8 = 8 > 7 \\ 3 \cdot 4 + 2 = 12 + 2 = 14 > 3 \\ \end{matrix} \right.\ \Longrightarrow\]
\[\Longrightarrow да.\]
\[\textbf{б)}\ ( - 5;1):\]
\[\left\{ \begin{matrix} ( - 5)^{2} - 2 = 25 - 2 = 23 > 7 \\ 3 \cdot ( - 5) + 1 = - 14 < 3\ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \Longrightarrow\]
\[\Longrightarrow нет.\]
\[\textbf{в)}\ ( - 2; - 1):\]
\[\left\{ \begin{matrix} ( - 2)^{2} + 2 = 6 < 7\ \ \ \ \ \ \\ 3 \cdot ( - 2) - 1 = - 7 < 3 \\ \end{matrix} \right.\ \Longrightarrow нет.\]
\[\textbf{г)}\ (6; - 5):\]
\[\left\{ \begin{matrix} 6^{2} - 2 \cdot ( - 5) = 36 + 10 = 46 > 7 \\ 3 \cdot 6 - 5 = 18 - 5 = 13 > 3\ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \Longrightarrow\]
\[\Longrightarrow да.\]