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2004 AMC 10AProblem 15P11-15~3 minPrint
Absolute Value & InequalitiesAlgebraic ManipulationBound the quantity above/below or estimate to pin it downConsider the largest/smallest element or boundary case

Given that −4≤x≤−2-4\leq x\leq-2 and 2≤y≤42\leq y\leq4 , what is the largest possible value of x+yx\frac{x+y}{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.