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2017 AMC 10BProblem 3P1-10~2 minPrint
Absolute Value & InequalitiesBound the quantity above/below or estimate to pin it downTest small/specific values or special cases to find or verify the answer

Real numbers xx , yy , and zz satisfy the inequalities 0<x<10<x<1 , −1<y<0-1<y<0 , and 1<z<21<z<2 . Which of the following numbers is necessarily positive?

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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.