\[\boxed{\mathbf{1387}\mathbf{.}}\]
\[1)\ x + 8 > 4 - 3x\]
\[4x > - 4\]
\[x > - 1.\]
\[Ответ:\ \ x > - 1\]
\[2)\ 3x + 1 - 2(3 + x) < 4x + 1\]
\[3x + 1 - 6 - 2x < 4x + 1\]
\[x - 5 < 4x + 1\]
\[- 3x < 6\]
\[x > - 2.\]
\[Ответ:\ \ x > - 2\]