The relation "is preferred to" between commodity bundles is just one example of a binary relation.Another example is the relation "is a full brother of" defined over the set of all human beings.Let xRy mean person x is a full brother of person y.
A)The relation R is reflexive, transitive, and complete.
B)The relation R is transitive and complete but not reflexive.
C)The relation R is transitive but not complete or reflexive.
D)The relation R is complete but not transitive or reflexive.
E)The relation R is not reflexive, transitive, or complete.

Question

Quizplus · Accepted Answer

The relation "is a full brother of" is transitive because if person x is a full brother of person y, and person y is a full brother of person z, then person x is a full brother of person z. However, it is not reflexive because a person cannot be his own brother. It is also not complete because not every pair of individuals can be compared under this relation (e.g., a person and their sister, or two unrelated individuals).

The Relation "Is Preferred To" Between Commodity Bundles Is Just