Question

Giúp mình

Answer 1

 

 

  

Answer 2

`|1/2x+0,25|-1 2/3=[-1]/2`

`=>|1/2x+1/4|-5/3=[-1]/2`

`=>|1/2x+1/4|=7/6`

`=>[(1/2x+1/4=7/6),(1/2x+1/4=[-7]/6):}`

`=>[(x=11/6),(x=[-17]/6):}`

Answer 3

\(\left|\dfrac{1}{2}x+0,25\right|-1\dfrac{2}{3}=\dfrac{-1}{2}\\ \left|\dfrac{1}{2}x+\dfrac{1}{4}\right|-\dfrac{5}{3}=\dfrac{-1}{2}\\ \left|\dfrac{1}{2}x+\dfrac{1}{4}\right|=\dfrac{-1}{2}+\dfrac{5}{3}\\ \left|\dfrac{1}{2}x+\dfrac{1}{4}\right|=\dfrac{7}{6}\\ \dfrac{1}{2}x=\dfrac{7}{6}-\dfrac{1}{4}\\ \dfrac{1}{2}x=\dfrac{11}{12}\\ x=\dfrac{11}{12}:\dfrac{1}{2}\\ x=\dfrac{11}{6}.\)

Answer 4

\(\left|\dfrac{1}{2}x+0,25\right|-1\dfrac{2}{3}=\dfrac{-1}{2}\)

\(\left|\dfrac{1}{2}x+0,25\right|=\dfrac{-1}{2}+1\dfrac{2}{3}\)

\(\left|\dfrac{1}{2}x+0,25\right|=\dfrac{7}{6}\)

\(\left[{}\begin{matrix}\dfrac{1}{2}x+0,25=\dfrac{7}{6}\\\dfrac{1}{2}x+0,25=-\dfrac{7}{6}\end{matrix}\right.\)

\(\left[{}\begin{matrix}\dfrac{1}{2}x=\dfrac{7}{6}-0,25\\\dfrac{1}{2}x=-\dfrac{7}{6}-0,25\end{matrix}\right.\)

\(\left[{}\begin{matrix}\dfrac{1}{2}x=\dfrac{11}{12}\\\dfrac{1}{2}x=-\dfrac{17}{12}\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=\dfrac{11}{12}\div\dfrac{1}{2}=\dfrac{11}{6}\\x=-\dfrac{17}{12}\div\dfrac{1}{2}=-\dfrac{17}{6}\end{matrix}\right.\)