Question

Answer 1

\(\Leftrightarrow\left|5x-\dfrac{1}{2}\right|=\dfrac{2}{3}\)

\(\Leftrightarrow\left[{}\begin{matrix}5x-\dfrac{1}{2}=\dfrac{2}{3}\\5x-\dfrac{1}{2}=-\dfrac{2}{3}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{7}{30}\\x=-\dfrac{1}{30}\end{matrix}\right.\)

Answer 2

= 2/5|5x-1/2|=2/75

=|5x-1/2|=1/15

\(\left[{}\begin{matrix}5x-\dfrac{1}{2}=\dfrac{1}{15}\\5x-\dfrac{1}{2}=-\dfrac{1}{15}\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=\left(\dfrac{17}{750}\right)\\x=\left(\dfrac{13}{150}\right)\end{matrix}\right.\)