This is a system of inequations for which I want to find the set of answers.

What I CAN'T do here is the following:

We start with the first inequation

1) I divide both sides of the inequation by

and I get:

2) I cancel the

in top and bottom of both members of the inequality and I get:

In other words:

Then solving this inequality I get:

3)

And this is plainly wrong: Then my question is WHY, what's wrong with this procedure.

I know the right one so I don't need the correct procedure, but instead what I'm looking for is an explanation about how come this is incorrect (not just saying because the answer is wrong, I know the correct answer) I thought that perhaps has to do with order of operations...