Решить неравенство: 2x^2-9x-4<0.

\[2x^{2} - 9x + 4 < 0\]

\[D = 81 - 32 = 49\]

\[x_{1} = \frac{9 + 7}{4} = 4;\]

\[x_{2} = \frac{9 - 7}{4} = \frac{2}{4} = 0,5;\]

\[2(x - 0,5)(x - 4) < 0\]

\[0,5 < x < 4.\]

\[Ответ:0,5 < x < 4.\]