`c)(3/2-x)(3-x)<0`
\(\left[ \begin{array}{l}\begin{cases}\dfrac{3}{2}-x>0\\3-x<0\end{cases} \\\begin{cases}\dfrac{3}{2}-x<0\\3-x>0\end{cases} \end{array} \right.\) `<=>`\(\left[ \begin{array}{l}\begin{cases}x<\dfrac{3}{2}\\x>3\end{cases} \\\begin{cases}x>\dfrac{3}{2}\\x<3\end{cases} \end{array} \right.\) `<=>`\(\left[ \begin{array}{l}3<x<\dfrac{3}{2}(vô lí)\\\dfrac{3}{2}<x<3(tm)\end{array} \right.\)
vậy `3/2<x<3` thì `(3/2-x)(3-x)<0`