Solve the equation |x-1|=x-1

Your solution is correct.

My solution: if $|x-1|=x-1$, then $x-1 \ge 0$, hence $x \ge 1$. For $x \ge 1$ your equations reads as follows: $x-1=x-1$.

Hence: $|x-1|=x-1 \iff x \ge 1.$

Tags:

Absolute Value

Algebra Precalculus

Proof Verification

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