As shown in the figure below the answer is the last option:
[tex](-6, 0) \cup (2, +\infty)[/tex]
The roots of the polynomial in the denominator are:
[tex]x_{1}=-6[/tex]
[tex]x_{2}=2[/tex]
So, the inequality can be written as follows:
[tex]\frac{(x-2)(x+6)}{x}\ \textgreater \ 0[/tex]
From this inequality we can study the signs and get the same conclusion just as shows the graph.
