Show that the function d: RxR → R defined by d(x, y) = √x-y

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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Show that the function d: RxR → R defined by d(x, y) = √x -y for all x, y € R is a metric on R.
Transcribed Image Text:Show that the function d: RxR → R defined by d(x, y) = √x -y for all x, y € R is a metric on R.
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