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2022 AMC 12B Question 1

AMC12 · 2022 AMC 12B

Question 1

Define $x \diamond y$ to be $|x - y|$ for all real numbers $x$ and $y.$ What is the value of

$$
(1 \diamond (2 \diamond 3)) - ((1 \diamond 2) \diamond 3)?
$$
  1. $-2$
  2. $-1$
  3. $0$
  4. $1$
  5. $2$