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2012 AMC 10B Question 8

AMC10 · 2012 AMC 10B

Question 8

What is the sum of all integer solutions to the following inequality? $$
1 < (x-2)^2 < 25
$$
  1. $ 10 $
  2. $ 12 $
  3. $ 15 $
  4. $ 19 $
  5. $ 25 $