Discrete Mathematics I need help with this two part problemPart aPart b popedgar:0.tex - TeXstudiolabeltiny8 of 14A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domainof a relatiom R where two cars are related if they were made in the same year.(a) Prove that this relation is an equivalence relation.(b) Describe the partition defined by the equivalence classes.

(a) A relation is an equivalence relation if it is, reflexive, transitive, and symmetric. Let D be…

Answered: A car dealership sells cars that were…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 28E

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I am having trouble working thru this problem, any help would be appreciated.
You just bought a new car from a dealership that sells cars no older than 2015. Consider therelationship to be the “same age.” The relation is “same age” and the set is cars made in 2015, 2016,2017, 2018, 2019, and 2020. (a) Prove that this relation is an equivalence relation. (b) Describe the partition defined by the equivalence classes
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A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domain of a relation R where two cars are related if they were made in the same year. (a) Prove that this relation is an equivalence relation. (b) Describe the partition defined by the equivalence classes.