Question

Solving|2x - 1| = 2x - 1

Answer 1

We have the following:

`|2x-1|=2x-1`

solving for x:

`\begin{gathered} |2x-1|=2x-1 \\ -(2x-1)=2x-1\rightarrow-2x+1=2x-1 \\ 2x+2x=1+1 \\ 4x=2 \\ x=(2)/(4)=(1)/(2) \\ (2x-1)=2x-1\rightarrow2x-1=2x-1 \\ 0=0 \\ \text{True for all x} \end{gathered}`

Therefore, the answer is:

`x\ge(1)/(2)`