For which value of $-\mathrm{<mn>5</mn>}$ will the system of inequalities $\left\{\begin{array}{l}{\mathrm{x}}^2-\mathrm{<mn>5</mn>}\mathrm{x}+\mathrm{<mn>4</mn>}\ge 0\\ \mathrm{x}>0\end{array}\right.$ have a solution?