Suppose (X, d) is a metric space and let r> 0. Show that p: X2 → [0, 0) defined byp(x, y) = r· d(x, y) is a metric on X.

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Answered: Suppose (X, d) is a metric space and…

Suppose (X, d) is a metric space and let r> 0. Show that p: X2 → [0, c0) defined by p(x, y) = r· d(x, y) is a metric on X.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section: Chapter Questions

Problem 17RE

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Suppose (X, d) is a metric space and let r> 0. Show that p: X2 → [0, 0) defined by
p(x, y) = r· d(x, y) is a metric on X.

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