Закончит

\[ (5x+1)(3x-1)>(4x-1)(x+2) \]

\[ 15x^2-2x-1>4x^2+7x-2 \]

\[ 11x^2-9x+1>0 \]

\[ D=81-44=37,\qquad x=\frac{9\pm\sqrt{37}}{22} \]

Ответ: \[ \boxed{x\in\left(-\infty;\frac{9-\sqrt{37}}{22}\right)\cup\left(\frac{9+\sqrt{37}}{22};+\infty\right)} \]