R.3. Consider the relation R = {(m,n):m,n E N & m|n}. Prove that R defines a partial order on the set of natural numbers. Then show that R does not define a linear ordering on the set of natural numbers by giving two natural numbers a and b such that a does not divide b and b does not divide a.

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A:

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A: For the solution follow the next steps.

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A: Step 1: Verify reflective and symmetricGiven that   be a relation on the set Reflexive:  For every…

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