In the group stages of the recent 2022 FIBA Asia Cup, Australia along with Jordan, Indonesia and Saudi Arabia comprised the four teams in Group A and played against each other in a "round-robin". Their standings and their win/loss record at the conclusion of the group stage play can be found at: Group A Let X denote the (four) teams in Group A. For each pair of teams, y and z in X, set y "is a better team than" z, if y defeated z in their group game. For example, since Australia won all three of its group games, we set Australia "is a better team than" Jordan, Australia "is a better team than" Indonesia and, Australia "is a better team than" Saudi Arabia.

(a) (10 points) Explain whether or not this relation is complete.

(b) (10 points) Explain whether or not this relation is transitive.

(c) (10 points) Explain whether or not the points the teams received from their Group A games can be used to represent this relation.