Question

1/6 - | x - 2 | = _ -5/6

Answer 1

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

\(\Rightarrow x-2=\frac{1}{6}-\left(-\frac{5}{6}\right)\)

\(\Rightarrow\left|x\right|=\orbr{\begin{cases}3\\-3\end{cases}}\)

\(\Rightarrow x=3\)

Answer 2

\(\frac{1}{6}\)-/x-2/ = -\(\frac{5}{6}\)<=> /x-2/ = \(\frac{1}{6}\)+ \(\frac{5}{6}\)

                              <=> /x-2/=1

                              <=>\(\orbr{\begin{cases}x-2=1\\x-2=-1\end{cases}}\)<=> \(\orbr{\begin{cases}x=3\\x=1\end{cases}}\)

Vậy x=3 hoặc x=1