\[- 2x^{2} + 7x - 6 < 0\]
\[D = 49 - 48 = 1\]
\[x_{1} = \frac{- 7 - 1}{- 4} = 2,\ \ \]
\[x_{2} = \frac{- 7 + 1}{- 4} = 1,5\]
\[Ответ:( - \infty;\ 1,5) \cup (2;\ + \infty).\]