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

Question

# 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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## Step-by-step explanation

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sectetur adipiscing elit. Nam lacinia pulvi
sectetur adipiscing elit. Nam lacinia pulvinar t
sectetur adipiscing elit. Nam lacinia pulvinar tortor nec fac

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sectetur adipiscing elit. Nam lacinia pulvinar tortor

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