Question

|x-1|=x/2
(the absolute value of x-1 equals one half x)

Answer 1

`|x-1|= (x)/(2) \\ \\ x-1=- (x)/(2) \\ 2x-2=-x \\ 3x-2=0 \\ 3x=2 \\ x= (2)/(3) \\ \\ x-1= (x)/(2) \\ 2x-2=x \\ x-2=0 \\ x=2 \\ \\ \boxed{x= (2)/(3)\ and\ 2 }`