what is reflexive relation ??????
Answers
Answer:
In relation and functions, a reflexive relation is the one in which every element maps to itself. For example, consider a set A = {1, 2,}. Now, the reflexive relation will be R = {(1, 1), (2, 2), (1, 2), (2, 1)}. Hence, a relation is reflexive if:
(a, a) ∈ R ∀ a ∈ A
Where a is the element, A is the set and R is the relation.
The examples of reflexive relations are given in the table. The statements consisting of these relations show reflexivity.
Statement Symbol
“is equal to” (equality) =
“is a subset of” (set inclusion) ⊆
“divides” (divisibility) ÷ or /
“is greater than or equal to” ≥
“is less than or equal to” ≤
Step-by-step explanation:
Answer:
In mathematics, a binary relation R over a set X is reflexive if it relates every element of X to itself. An example of a reflexive relation is the relation "is equal to" on the set of real numbers, since every real number is equal to itself.