Understanding Relations-Equivalence relation- #shorts Class 12 Math

Define an equivalence relation.

Relation and Types of relations, Equivalence relation

Is inclusion of a subset in another, in the context of a universal set, an equivalence relation in the class of subsets of the sets? Justify your answer.

The inverse of an equivalence relation is an equvalence relation

Types Of Relation|Empty Relation|Universal Relation|Identity Relation|Example|Reflexive Relation|Example|Symmetric Relation|Transitive Relation|Equivalence Relation|Example|OMR|Summary

If A ={ 1, 2, 3,. . . , 10} R : A to A R = { (a, b) : | a - b| is a multiple of 3} is an equivalence relation, then the equivalence class [1] is

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.

Which of the following is an equivalence relation?

Let A={1,2,3,......, 12} and R be a relation in A xx A defined by (a, b) R (c,d) if ad=bc AA(a,b),(c,d) in A xx A . Prove that R is an equivalence relation. Also obtain the equivalence class [(3,4)] .