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2022 AMC 10A Question 6

AMC10 · 2022 AMC 10A

Question 6

Which expression is equal to $$
\left|a-2-\sqrt{(a-1)^2}\right|
$$ for $a < 0?$
  1. $3 - 2a$
  2. $1 - a$
  3. $1$
  4. $a + 1$
  5. $3$