Question

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

Answer 1

Answer:

Your answer is given below .

Step-by-step explanation:

What is reflexive, symmetric, transitive relation?

Reflexive. Relation is reflexive. If (a, a) E

R for every a E A.

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

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

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