Question

Answer 1

`|-2x + 1,5| = 1/4`

`=>` \(\left[{}\begin{matrix}-2x+1,5=\dfrac{1}{4}\\-2x+1,5=-\dfrac{1}{4}\end{matrix}\right.\)

`=>`\(\left[{}\begin{matrix}-2x=\dfrac{1}{4}-1,5\\-2x=-\dfrac{1}{4}-1,5\end{matrix}\right.\)

`=>` \(\left[{}\begin{matrix}-2x=-\dfrac{5}{4}\\-2x=-\dfrac{7}{4}\end{matrix}\right.\)

`=>` \(\left[{}\begin{matrix}x=-\dfrac{5}{4}:\left(-2\right)\\x=-\dfrac{7}{4}:\left(-2\right)\end{matrix}\right.\)

`=>` \(\left[{}\begin{matrix}x=-\dfrac{5}{4}.\dfrac{-1}{2}\\x=-\dfrac{7}{4}.\dfrac{-1}{2}\end{matrix}\right.\)

`=>` \(\left[{}\begin{matrix}x=\dfrac{5}{8}\\x=\dfrac{7}{8}\end{matrix}\right.\)

 

`#H.J`

Answer 2

`|-2x + 1,5| = 1/4`

`=> |-2x + 1,5| = 0,25`

`=>` \(\left[{}\begin{matrix}-2x+1,5=0,25\\-2x+1,5=-0,25\end{matrix}\right.\)

`=>`\(\left[{}\begin{matrix}-2x=0,25-1,5\\-2x=-0,25-1,5\end{matrix}\right.\)

`=>`\(\left[{}\begin{matrix}-2x=-1,25\\-2x=-1,75\end{matrix}\right.\)

`=>` \(\left[{}\begin{matrix}x=0,625\\x=0,875\end{matrix}\right.\)