Answer to Question #333361 in Discrete Mathematics for Element

Question

3) Is the relation on {0, 1, 2, 3} are partial ordering? Determine the properties of a partial ordering that it lacks.

{(0, 0), (1, 1), (1, 2), (1, 3), (2, 2), (2, 3), (3, 3)}

 

4) Is (S, R) a poset if S is the set of all people in the world and (a, b) ∈ R, where a and b are people, if a is taller than b?

 

5) Is (Z,≠) a poset?