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

User Polo
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1 Answer

18 votes
18 votes

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)

User Zpangwin
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