Math, asked by muhammadnaveed31202, 5 days ago

let R be a relation in the natural number N defined by a R b if and only if 'a is a multiple of b' for a,b € N . examine the above relation for reflexive, symmetric, anti-symmetric, transitive and anti-reflexive

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Answered by Ayushi026

Answer:

What is reflexive, symmetric, transitive relation?

Reflexive. Relation is reflexive. If (a, a) ∈ R for every a ∈ A.

Symmetric. Relation is symmetric, If (a, b) ∈ R, then (b, a) ∈ R.

Transitive. Relation is transitive, If (a, b) ∈ R & (b, c) ∈ R, then (a, c) ∈ R. If relation is reflexive, symmetric and transitive, it is an equivalence relation . Let's take an example.

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let R be a relation in the natural number N defined by a R b if and only if 'a is a multiple of b' for a,b € N . examine the above relation for reflexive, symmetric, anti-symmetric, transitive and anti-reflexive​

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let R be a relation in the natural number N defined by a R b if and only if 'a is a multiple of b' for a,b € N . examine the above relation for reflexive, symmetric, anti-symmetric, transitive and anti-reflexive