AMC 10 Step by Step
Log inSign up
2022 AMC 10BProblem 1P1-10~1 minPrint
FunctionsAbsolute Value & InequalitiesSet up the equation/formula and compute; no special trick needed

Define x⋄yx\diamond y to be ∣x−y∣|x-y| for all real numbers xx and y.y. What is the value of (1⋄(2⋄3))−((1⋄2)⋄3)?(1\diamond(2\diamond3))-((1\diamond2)\diamond3)?

Log in to save your progress.

Similar problems

Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.