\[\boxed{\text{1041.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[\textbf{а)}\ \frac{x - 0,5}{4} + \frac{x - 0,25}{4} +\]
\[+ \frac{x - 0,125}{8} < 0\ \ \ \ \ | \cdot 8\]
\[2x - 1 + 2x - 0,5 + x -\]
\[- 0,125 < 0\]
\[5x < 1,625\ \ |\ :5\]
\[x < 0,325\]
\[x \in ( - \infty;0,325).\]
\[\textbf{б)}\ \frac{5 - x}{3} - \frac{1 - x}{2} > 1\ \ \ \ | \cdot 6\]
\[2 \cdot (5 - x) - 3 \cdot (1 - x) > 6\]
\[10 - 2x - 3 + 3x > 6\]
\[x > - 1 \Longrightarrow \ \ x \in ( - 1;\ + \infty).\]