Answered: Come up with a set A and a function d :…

Come up with a set A and a function d : A × A → {0, 1, 2, 3} which is symmetric and satisfies d(x, y) = 0 ⇔ x = y, but does not satisfy the triangle inequality satisfies.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Come up with a set A and a function d : A × A → {0, 1, 2, 3}
which is symmetric and satisfies d(x, y) = 0 ⇔ x = y, but does not satisfy the triangle inequality satisfies.

how do I even start questions like this?

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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