a:Ta có: \(\left(x-2\right)\left(x-\dfrac{1}{2}\right)< 0\)
\(\Leftrightarrow\left\{{}\begin{matrix}x-\dfrac{1}{2}>0\\x-2< 0\end{matrix}\right.\Leftrightarrow\dfrac{1}{2}< x< 2\)
b: Ta có: \(\left(x+\dfrac{1}{3}\right)\left(x+1\right)>0\)
\(\Leftrightarrow\left[{}\begin{matrix}x>-\dfrac{1}{3}\\x< -1\end{matrix}\right.\)