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2022 AMC 10B Problem 1

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2022 AMC 10B Problem 1AMC 10 Step by Step
Name:                             Date: September 13, 2026
Functions · difficulty 1 of 5 · about 1 min · position P1-10

Define x⋄yx\diamond y to be ∣x−y∣|x-y| for all real numbers xx and y.y. What is the value of (1⋄(2⋄3))−((1⋄2)⋄3)?(1\diamond(2\diamond3))-((1\diamond2)\diamond3)?

  1. A)

    −2{-}2

  2. B)

    −1{-}1

  3. C)

    00

  4. D)

    11

  5. E)

    22

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