Mathematics Homework Solutions
Problem
#4919

Determine reflexive, symmetric, antisymmetric, transitive, partial order and equivalence.

Let R = {(1,1)(3,1)(2,2)(1,2)(3,3)(3,2)} on Z = {1,2,3}

Is R reflexive? Why?
Is R Symmetric? Why?
Is R antisymmetric? Why?
Is R transitive? Why?
Is R a partial order? Why?
Is R an equivalence relation?


Solution Summary

It is determined if a relation is reflexive, symmetric, antisymmetric, transitive, partial order and its equivalence.

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