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2010 AMC 10AProblem 11P11-15~2 minPrint
Absolute Value & InequalitiesLinear Equations & Word ProblemsSet up the equation/formula and compute; no special trick needed

The length of the interval of solutions of the inequality a≤2x+3≤ba \le 2x + 3 \le b is 1010 . What is b−ab - a ?

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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.