Relation and function | Class 12 | Equivalence relation concept #short

Relation and Types of relations, Equivalence relation

Define an equivalence relation.

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.

If R and S are two equivalence relations on a set A then R nn S is also an equivalence relation on R.

What is relation concept explanation?

Which of the following is an equivalence relation?

Statement-1: If R is an equivalence relation on a set A, then R^(-1) is also an equivalence relation. Statement-2: R = R^(-1) iff R is a symmetric relation.

Which of the following are not equivalence relations on I?

The inverse of an equivalence relation is an equvalence relation