Question

\(\left(x+\dfrac{2}{3}\right)\left(\dfrac{1}{4}-x\right)>0\)

Answer 1

\(\left(x+\dfrac{2}{3}\right)\left(\dfrac{1}{4}-x\right)>0\\ \Rightarrow\left[{}\begin{matrix}x+\dfrac{2}{3}>0\\\dfrac{1}{4}-x>0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x>-\dfrac{2}{3}\\x< \dfrac{1}{4}\end{matrix}\right.\)