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1) Prove or disprove the following theorems about divides (i.e., d...

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1) Prove or disprove the following theorems about divides (i.e., d...

1) Prove or disprove the following theorems about divides (i.e., d | n ≡ d = n · k ) when taken as a relation on the integers:

a. Divides is symmetric.
b. Divides is antisymmetric.

 

2) Give the smallest non-empty relation with the following properties. The set A may be chosen by the student:

1. Irreflexive and not transitive 2. Antisymmetric and symmetric

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Solved by verified expert
Answered by ProfPorcupine2723 on coursehero.com

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Step-by-step explanation

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