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2003 AMC 10AProblem 6P1-10~1 minPrint
Absolute Value & InequalitiesFunctionsUse the answer choices (mod checks, size, form) to eliminate or selectTest small/specific values or special cases to find or verify the answer

Define x♡yx \heartsuit y to be ∣x−y∣|x-y| for all real numbers xx and yy . Which of the following statements is not true?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2003 12A #6.