\[\ 3 \cdot (x - 1,5) - 4 < 4x + 1,5\]
\[3x - 4,5 - 4 < 4x + 1,5\]
\[- x < 10\]
\[x > - 10.\]
\[a + 6 < \frac{a + 2}{4}\]
\[4 \cdot (a + 6) < a + 2\]
\[4a + 24 < a + 2\]
\[3a < - 22\]
\[a < - \frac{22}{3}\]
\[a < - 7\frac{1}{3}.\]
\[\ \left\{ \begin{matrix}
6x - 12 > 0 \\
2x - 3 > 0\ \ \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ }\left\{ \begin{matrix}
6x > 12 \\
2x > 3\ \ \ \\
\end{matrix} \right.\ \text{\ \ \ \ \ }\left\{ \begin{matrix}
x > 2\ \ \ \\
x > 1,5 \\
\end{matrix} \right.\ \]

\[Ответ:x > 2.\]