4. Sets, Functions, and Relations

Partial Orders — Quiz

Test your understanding of partial orders with 5 practice questions.

Practice Questions

Question 1

Which property is NOT required for a relation to be a partial order?

Question 2

A relation $R$ on a set is a partial order if it is reflexive, antisymmetric, and what else?

Question 3

In a partial order, if $aRb$ and $bRa$, what must be true?

Question 4

Which relation on the positive integers is a partial order but not a total order?

Question 5

If two elements in a partial order are incomparable, what does that mean?