Final answer:
The correct equivalent logical statement to "I saw King Kong or Napoleon Dynamite" is "If I did not see King Kong, I saw Napoleon Dynamite", which corresponds to option D.
Step-by-step explanation:
The question you've asked pertains to logic, a branch of mathematics. The original statement is "I saw King Kong or Napoleon Dynamite." This statement is an inclusive disjunction, which means that one or both of the events may occur. What we have to find is an equivalent statement.
To evaluate the answer choices provided, let's examine each:
- A. If I saw Napoleon Dynamite, I did not see King Kong.
- B. I saw both King Kong and Napoleon Dynamite.
- C. If I saw King Kong, I did not see Napoleon Dynamite.
- D. If I did not see King Kong, I saw Napoleon Dynamite.
The correct answer is D. Statement D is the only one that correctly expresses the logical implication of the original statement: if one event did not occur, the other must have. This is known as the converse of a conditional statement derived from the original disjunction.