Задание

Решите неравенство \(\log_{x+2}{(3-x)}\cdot\log_{2x}{(3x-1)}\geqslant0.\)

\(\left(\dfrac{1}{3};\dfrac{1}{2}\right)\cup\left[\dfrac{2}{3};2\right]\)

\(\left(\dfrac{1}{3};\dfrac{2}{3}\right)\cup\left(\dfrac{2}{3};2\right]\)

\(\left(\dfrac{1}{3};\dfrac{1}{2}\right)\cup\left[\dfrac{2}{3};1\right)\)

\(\left(\dfrac{1}{3};\dfrac{1}{2}\right)\cup\left(\dfrac{1}{2};2\right]\)