Решите неравенство 3x<5*(x+1)-10<8.

\[3x < 5 \cdot (x + 1) - 10 < 8\]

\[5 \cdot (x + 1) - 10 = 5x + 5 - 10 = 5x - 5.\]

\[3x < 5x - 5 < 8\]

\[\left\{ \begin{matrix} 5x - 5 > 3x \\ 5x - 5 < 8\ \ \\ \end{matrix} \right.\ \Longrightarrow \left\{ \begin{matrix} 5x - 3x > 5 \\ 5x < 8 + 5\ \ \\ \end{matrix} \right.\ \]

\[\left\{ \begin{matrix} 2x > 5\ \ \\ 5x < 13 \\ \end{matrix} \right.\ \Longrightarrow \left\{ \begin{matrix} x > 2,5 \\ x < 2,6 \\ \end{matrix} \right.\ \]

\[Ответ:4)\ (2,5;2,6).\]