Для каждого значения a решите систему неравенств: x^2+5x-6>0; x<a.

\[\left\{ \begin{matrix} x^{2} + 5x - 6 > 0 \\ x < a\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]

\[x^{2} + 5x - 6 = 0\]

\[x_{1} + x_{2} = - 5,\ \ x_{1} \cdot x_{2} = - 6\]

\[x_{1} = - 6,\ \ x_{2} = 1\]

\[Если\ a < - 6:\]

\[x < a.\]

\[Если\ \ - 6 \leq a \leq 1:\]

\[x < - 6.\]

\[Если\ a > 1:\ \]

\[x < - 6\ \ \ и\ \ 1 < x < a.\]