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2010 AMC 12A Question 22

AMC12 · 2010 AMC 12A

Question 22

What is the minimum value of $$
\begin{gathered} f(x) = |x-1|+|2x-1| \\ {}+|3x-1|+\cdots+|119x-1|? \end{gathered}
$$
  1. $49$
  2. $50$
  3. $51$
  4. $52$
  5. $53$