Let A = {a,b,c }. What is the equivalence relation of smallest cardinality on A ? What is the equivalence relation of largest cardinality on A?

The union of two equivalence relations on a set is not necessarily an equivalence relation on the set.

The union of two equivalence relations on a set is not necessarily an equivalence relation on the set.

The union of two equivalence relations on a set is not necessarily an equivalence relation on the set.

Let A= {a,b,c}. Which of the following is not an equivalence relation in A?

Show that the intersection of two equivalence relations in a set is again an equivalence relation in the set

Show that AxxA is an equivalence relation on a non-empty set A. What is the corresponding equivalence class.

The number of equivalence relation that can be defined on (a, b, c) is

Prove that the intersection of two equivalence relations in a set is an equivalence relation and give an example to show that the union of two equivalence relations in a set is not necessarily an equivalence relation.