[tex]\it \Big|\dfrac{x}{2}-\dfrac{3}{4}\Big|= \dfrac{1}{2} \Rightarrow \dfrac{x}{2}-\dfrac{3}{4}=\pm\dfrac{1}{2} \Rightarrow \dfrac{x}{2}-\dfrac{3}{4}\in\Big\{-\dfrac{1}{2},\ \dfrac{1}{2} \Big\}\Big|_{+\dfrac{3}{4}} \Rightarrow \\ \\ \\ \Rightarrow\dfrac{x}{2}\in\Big\{\dfrac{1}{4},\ \dfrac{5}{4} \Big \}\Big|_{\cdot2} \Rightarrow x\in\Big\{\dfrac{1}{2},\ \dfrac{5}{2} \Big \}[/tex]
