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2016 AMC 10BProblem 3P1-10~1 minPrint
Absolute Value & InequalitiesSet up the equation/formula and compute; no special trick needed

Let x=−2016x=-2016 . What is the value of ∣∣∣x∣−x∣−∣x∣∣−x?\bigg| \big||x|-x\big|-|x| \bigg| -x?

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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.