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2022 AMC 10AProblem 6P1-10~2 minPrint
Absolute Value & InequalitiesSet up the equation/formula and compute; no special trick neededTest small/specific values or special cases to find or verify the answer

Which expression is equal to ∣a−2−(a−1)2∣\left|a-2-\sqrt{(a-1)^2}\right| for a<0?a<0?

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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.