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if n/m means that n is factor of m , the relation “/” is

if  n/m means that n is factor of m , the relation “/” is

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1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Hello student,
Thedivisibilityorder on thenatural numbersis an antisymmetric relation. And what antisymmetry means here is that the only way each of two numbers can be divisible by the other is if the two are, in fact, the same number; equivalently, ifnandmare distinct andnis a factor ofm, thenmcannot be a factor ofn.
so if n and m are distinct the relation / is antisymmetric
Thanks and Regards
Shaik Aasif
askIITians faculty

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