Question

| 1/2 x-1|= (2-x)/2

Answer 1

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

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

=>\(\dfrac{1}{2}x-1< =0\)

=>\(\dfrac{1}{2}x< =1\)

=>x<=2

Answer 2

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

TH1 : \(\dfrac{1}{2}x-1=\dfrac{2-x}{2}\Rightarrow x-2=2-x\Leftrightarrow2x=4\Leftrightarrow x=2\)

TH2 : \(\dfrac{1}{2}x-1=\dfrac{x-2}{2}\Rightarrow x-2=x-2\)

=> pt có vô số nghiệm