(Solved):
4. Given the relation \( L \) on the set \( P(\{1,2,3\}) \) shown on this diagram Is this relati ...
4. Given the relation \( L \) on the set \( P(\{1,2,3\}) \) shown on this diagram Is this relation reflexive? Irreflexive: Symmetric? Antisymmetric? Transitive? Partial order on the set \( P(\{1,2,3\}) \) ?
5. Given the relation \( R \) on the set \( A=\{1,2,3,6,9,18\} \) given by the rule \( (a, b) \in R \) with the rule " \( (a, b) \in R \) if \( a \) divides \( b \) ". Is \( R \) reflexive? Irreflexive? Symmetric? Antisymmetric? Transitive? A partial order on \( A \) ?