After-School Activities Running Late Entails That the Buses Will Run $\lor$

question 92

Multiple Choice

After-school activities running late entails that the buses will run late. The buses running late is a sufficient condition for either Carlos and Deandra getting home late or Edna missing dinner. Either after-school activities run late but Carlos doesn't get home late, or after-school activities run late but Deandra doesn't get home late. So, Edna misses dinner.
-Which of the following is the best translation into PL of this argument?

• A) A ⊃ B B ⊃ [(C • D) \( \lor \) E]
• (A \( \lor \) ∼C) \( \lor \) (A \( \lor \) ∼D) / E
• B) A ⊃ B B ⊃ [(C • D) \( \lor \) E]
• (A • ∼C) \( \lor \) (A • ∼D) / E
• C) A ⊃ B [(C • D) \( \lor \) E] ⊃ B
• (A • ∼C) \( \lor \) (A • ∼D) / E
• D) A ⊃ B [(C • D) \( \lor \) E] ⊃ B
• (A \( \lor \) ∼C) \( \lor \) (A \( \lor \) ∼D) / E
• E) A ⊃ B [(C • D) \( \lor \) E] ⊃ B
• (A \( \lor \) ∼C) • (A \( \lor \) ∼D) / E

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