1.7k views
4 votes
Find equivalence classes of following relations if they exist.. {(0.0), (1, 1). (2.2), (3,3)}

1 Answer

6 votes

Final answer:

The relation {(0,0), (1,1), (2,2), (3,3)} forms an equivalence relation with the equivalence classes {0}, {1}, {2}, and {3}.

Step-by-step explanation:

The relation {(0,0), (1,1), (2,2), (3,3)} defines an equivalence relation. In order to find the equivalence classes, we need to determine the groups of elements that are related to each other through this relation.

Considering {(0,0)}, the equivalence class is {0}. Similarly, the equivalence classes for {(1,1)}, {(2,2)}, and {(3,3)} are {1}, {2}, and {3} respectively.

Therefore, the equivalence classes for the given relation are {0}, {1}, {2}, and {3}.

User Bruno Faria
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories