Question

|2x-1| -\(\dfrac{1}{2}\)=\(\dfrac{1}{3}\)

Answer 1

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

\(\Leftrightarrow\left|2x-1\right|=\dfrac{5}{6}\)

\(\Leftrightarrow2x-1=\pm\dfrac{5}{6}\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-1=\dfrac{5}{6}\\2x-1=-\dfrac{5}{6}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{11}{12}\\x=\dfrac{1}{12}\end{matrix}\right.\)