Question

Answer 1

4) \(\Leftrightarrow\left|x-4\right|=\dfrac{1}{3}\)

\(\Leftrightarrow\left[{}\begin{matrix}x-4=\dfrac{1}{3}\\x-4=-\dfrac{1}{3}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{13}{3}\\x=\dfrac{11}{3}\end{matrix}\right.\)

5) \(\Leftrightarrow\left|x-7\right|=\dfrac{3}{2}\)

\(\Leftrightarrow\left[{}\begin{matrix}x-7=\dfrac{3}{2}\\x-7=-\dfrac{3}{2}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{17}{2}\\x=\dfrac{11}{2}\end{matrix}\right.\)

Answer 2

\(\dfrac{4}{3}\left|x-4\right|=\dfrac{4}{9}\)
\(\left|x-4\right|=-\dfrac{8}{9}\)
\(x-4=\dfrac{-8}{9}\)hoặc \(4-x=\dfrac{-8}{9}\)
\(x=\dfrac{28}{9}\) hoặc \(x=\dfrac{44}{9}\)

Answer 3

\(-\dfrac{3}{7}\left|x-7\right|=-\dfrac{9}{14}\)
\(\left|x-7\right|=-\dfrac{3}{14}\)
\(x-7=-\dfrac{3}{14}\) hoặc \(7-x=-\dfrac{3}{14}\)
\(x=\dfrac{95}{14}\) hoặc \(x=\dfrac{101}{14}\)