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I must solve following inequation:

$\frac{x-3}{1-2x}<0$

Now the text says that I have to solve the inequation "direct" without solving the according equations.

What does that mean?

I would say that I have to multiply by $(1-2x)$ then I get

$x-3<0$ and

$L_1 = [x \le 2]$

$L_2 = [x >0] $

but I have the feeling that I'm doing something wrong. Especially I don't understand what the paragraph about solving the inequation "direct" means. Could someone maybe explain that to me?

3 Answers 3