Question

|3/5-1/2x|>2/5

Answer 1

\(\Rightarrow\left[{}\begin{matrix}\dfrac{3}{5}-\dfrac{1}{2}x>\dfrac{2}{5}\\\dfrac{3}{5}-\dfrac{1}{2}x< -\dfrac{2}{5}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}-\dfrac{1}{2}x>-\dfrac{1}{5}\\-\dfrac{1}{2}x< -1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x< \dfrac{2}{5}\\x>2\end{matrix}\right.\)

Answer 2

|3/5-1/2x|>2/5

x6/5: 3/5-1/2x>2/5=> 1/2x<1/5=> x<2/5

x>6/5: 1/2x-3/5>2/5=> 1/2x>1=> x>2

Vậy x>2 hoặc x<2/5