\[2x^{2} + 5x - 7 < 0\]
\[D = 25 + 56 = 81\]
\[x_{1} = \frac{- 5 + 9}{4} = 1;\]
\[x_{2} = \frac{- 5 - 9}{4} = - \frac{14}{4} = - \frac{7}{2} = - 3,5;\]
\[2(x + 3,5)(x - 1) < 0\]
\[- 3,5 < x < 1.\]
\[Ответ:\ - 3,5 < x < 1.\]