Ta có: \(\dfrac{1}{2}-\left|x-3\right|:2=1\)
\(\Leftrightarrow\left|x-3\right|:2=\dfrac{1}{2}-1=\dfrac{-1}{2}\)
\(\Leftrightarrow\left|x-3\right|=-1\)(Vô lý)
\(\dfrac{1}{2}-\left|x-3\right|:2=1\)
\(\Rightarrow\left|x-3\right|:2=\dfrac{-1}{2}\)
\(\Rightarrow\left|x-3\right|=-1\) (vô lí)
\(\Rightarrow x=\varnothing\)
\(\dfrac{1}{2}-\left|x-3\right|=2\)
\(\left|x-3\right|=-\dfrac{3}{2}\)
\(\rightarrow\)không tìm được x thỏa mãn