M is an infinite set. If x,y ∈ M, explain the relation f below            {  1 , if x = y   f(x,y) {             {  0, if x ≠ y Is the given relatuion f a metric? Expound

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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Topic is Euclidean and Metric Spaces: Real Analysis
Suppose that there exists a set M in where M is an infinite set.
If x,y ∈ M, explain the relation f below

           {  1 , if x = y  
f(x,y) { 
           {  0, if x ≠ y

Is the given relatuion f a metric? Expound.

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