How to solve two inequalities that which simultaneous answers I have two inequalities here, and I must find the answer for both of them simultaneously (joint answer):
$\left\{
 \begin{aligned}
\dfrac{2}{x-3} \gt \dfrac{5}{x+6}  \\
\dfrac{1}{3} \lt \dfrac{1}{x-2}
\end{aligned}
\right.$
Please give me some hints and I'll do the rest. But if you have full time you can show me how to do it. Anyway, I can't find anything like this question on the Internet. I can solve one inequality, but two inequalities with a joint answer is new to me.

Let us consider the inequalties
$(1) \quad \dfrac{2}{x-3} \gt \dfrac{5}{x+6} $
and
$(2) \quad \dfrac{1}{3} \lt \dfrac{1}{x-2} $.
Then compute the set $L_1$ of the solutions of $(1)$ and the set $L_2$ of the solutions of $(2)$.
The set of solutions of 
$\left\{
 \begin{aligned}
\dfrac{2}{x-3} \gt \dfrac{5}{x+6}  \\
\dfrac{1}{3} \lt \dfrac{1}{x-2} 
\end{aligned}
\right.$
is given by $L_1 \cap L_2.$
