Tìm x biết: \(\left( {x - \frac{3}{2}} \right)\left( {2x + 1} \right) > 0\).

\(\left( {x - \frac{3}{2}} \right)\left( {2x + 1} \right) > 0\)

⇔ \(\left[ \begin{array}{l}\left\{ \begin{array}{l}x - \frac{3}{2} > 0\\2x + 1 > 0\end{array} \right.\\\left\{ \begin{array}{l}x - \frac{3}{2} < 0\\2x + 1 < 0\end{array} \right.\end{array} \right.\)

⇔ \(\left[ \begin{array}{l}x > \frac{3}{2}\\x < \frac{{ - 1}}{2}\end{array} \right.\).