Given the set P = {2,3,5,7,11}, the relation Eon set P is defined by:
a E b if and only if: LCM(a, b) is even.
1. Draw the directed graph for this relation.
3
7
2
11
5
2. Determine which properties this relation has, if any; explain.
Reflexive :
YES
NO
Antireflexive:
YES
NO
Antisymmetric:
YES
NO
Symmetric:
YES
NO
Transitive:
YES
NO