Question

on the set of natural numbers that are be the relation define by a relation B if a + b greater than is equal to 6 right on the relation by listening all the check whether it is reflexive symmetric transitive or equivalance​

Answer 1

Let be a relation defined by

. The relation

is (a) reflexive, symmetric and transitive (b) reflexive, transitive but not symmetric (c) symmetric, transitive but not reflexive (d) neither transitive nor reflexive but symmetric

Answer 2

Explanation:

➡️ In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The relation "is equal to" is the canonical example of an equivalence relation, where for any objects a, b, and c:

a = a (reflexive property),

if a = b then b = a (symmetric property), and

if a = b and b = c then a = c (transitive property).

As a consequence of the reflexive, symmetric, and transitive properties, any equivalence relation provides a partition of the underlying set into disjoint equivalence classes. Two elements of the given set are equivalent to each other if and only if they belong to the same equivalence class.