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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

Correct Answer:

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