\[\frac{3x - 4}{x - 1} > 2\]
\[\frac{3x - 4}{x - 1} - 2^{\backslash x - 1} > 0\]
\[\frac{3x - 4 - 2 \cdot (x - 1)}{x - 1} > 0\]
\[\frac{3x - 4 - 2x + 2}{x - 1} > 0\]
\[\frac{x - 2}{x - 1} > 0\]
\[Ответ:( - \infty;1) \cup (2; + \infty).\]