The correct answer is A) inductive, weak.
The sentence reads: Professional football is the modern-day equivalent of the Roman gladiatorial games. Therefore, since it was expected that gladiators would kill their opponents, no one should complain if professional football players injure or kill their opponents.
Professional football is a sport and a big business. The above induction is a limited comparison because in no way this sport is aimed to cause damage in any way to the opponent. Is a competitive sport that has a lot of audience due to its strategic and competitive nature that attract the masses. There is no valid argument that compares it with Roman Gladiators games.
The other options if the question were B) deductive, valid. C) Deductive, invalid. D) Deductive, cogent. E) Inductive, strong.