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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.

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
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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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.

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