Answer
$$\frac{2x+6}{x-2}\lt0$$
Work Step by Step
Step 1: Decompose our inequality into two functions:
$$(2x+6)\times\frac{1}{x-2}\lt0$$
Step 2: We know that like the product of two numbers, let say:
$a\times b=0$, then a=0 or b=0
Step 3: From step 2, we have:
$$(2x+6)\lt0 $$ or $$\frac{1}{x-2}\lt0$$
Step 4: We ready to solve each in inequality:
a) 2x+6<0 given
b) 2x
