smc

We are solving the inequality $6x^2+5x-4<0.$ This can be factored as $$(2x-1)(3x+4)<0$$ The graph of this inequality is a parabola facing upwards, so the interval between the roots satisfies the equation. This interval, $(-\frac{4}{3},\frac{1}{2})$, is answer $\boxed{-\frac{4}{3}<x<\frac{1}{2}}$.