Miguel consumes only art classes and anthropology classes. Miguel prefers a bundle of art classes and anthropology classes (with not necessarily equal to ) over a bundle of art classes and anthropology classes if (and only if) and . If and then Miguel prefers , over , . If neither case is true, he is indifferent between the two bundles.

a. Miguel's preferences satisfy the completeness assumption
b. Miguel's preferences satisfy the transitivity assumption
c. Miguel's preferences satisfy the non-satiation assumption