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For any two non-negative integers x and y, let d(x, y) = x + y. Let x, y, z be any three non-negative integers. Select all that are true:   Question 3 options:   d(x, x) = 0   if x ≠ y then d(x, y) ≠ 0   d(x, y) = d(y, x)   d(x, y) ≤ d(x, z) + d(z, y)   d is a metric

For any two non-negative integers x and y, let d(x, y) = x + y. Let x, y, z be any three non-negative integers. Select all that are true:   Question 3 options:   d(x, x) = 0   if x ≠ y then d(x, y) ≠ 0   d(x, y) = d(y, x)   d(x, y) ≤ d(x, z) + d(z, y)   d is a metric

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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discrete structure 

 

For any two non-negative integers x and y, let d(x, y) = x + y.

Let x, y, z be any three non-negative integers.

Select all that are true:

 

Question 3 options:

 

d(x, x) = 0
 

if x ≠ y then d(x, y) ≠ 0
 

d(x, y) = d(y, x)
 

d(x, y) ≤ d(x, z) + d(z, y)
 

d is a metric
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