2022 AMC 10 B

Complete problem set with solutions and individual problem pages

Problem 1 Easy

Define x◊y to be \left| x-y\right| for all real numbers x and y. What's the value  of

\left( 1◊\left( 2◊3\right)\right)-\left( \left( 1◊2\right)◊3\right)?

  • A.

    -2

  • B.

    -1

  • C.

    0

  • D.

    1

  • E.

    2

Answer:A

Original Expression =(1◊1)-(1◊3)

=0-2

=2.

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