Question

Which graph shows the solution set of x^2+4x-12/x 0

Answer 1

As shown in the figure below the answer is the last option:

$(-6, 0) \cup (2, +\infty)$

The roots of the polynomial in the denominator are:

$x_{1}=-6$
$x_{2}=2$

So, the inequality can be written as follows:

$\frac{(x-2)(x+6)}{x}\ \textgreater \ 0$

From this inequality we can study the signs and get the same conclusion just as shows the graph.

Answer 2

Answer:

D

Step-by-step explanation: