Answer to Question #178856 in Discrete Mathematics for Robert

Question

b)                 Let 𝑆 = {𝑎,      𝑏,        𝑐} and 𝑅 = {(𝑎, 𝑎),     (𝑏, 𝑏), (𝑐, 𝑐),  (𝑏, 𝑐), (𝑐, 𝑏)}, find [𝑎], [𝑏]                                   

           and [𝑐] (that is the equivalent class of a, b, and c). Hence or otherwise find the set of the equivalent class of 𝑎, 𝑏 and 𝑐?  

Answer 1

 Let and . Let us find the equivalent classes and . Taking into account that , we conclude that and Therefore, the set of equivalent classes is