Final answer:
The argument in question is a categorical argument known as a disjunctive syllogism, and it is valid.
Step-by-step explanation:
This argument can be classified as a categorical argument. It follows the form of a disjunctive syllogism. The argument states that either Mike loves broccoli or he will hate the casserole. Since it is stated that Mike does not hate the casserole, the conclusion is drawn that he must love broccoli. This deductive inference is valid.