Question

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Answer 1

\(\dfrac{2}{5}\left|x+\dfrac{1}{4}\right|+0,5=\dfrac{4}{5}\)

\(\Rightarrow\dfrac{2}{5}\left|x+\dfrac{1}{4}\right|=\dfrac{3}{10}\)

\(\Rightarrow\left|x+\dfrac{1}{4}\right|=\dfrac{3}{4}\)

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