1. A ⊃ (B $ \lor $ C)
2. ∼A $ \lor $ (D $ \lor $ E)
3. ∼(C $ \lor $ E)
-Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
A) A ⊃ C
B) A ⊃ E
C) A ⊃ (B • C)
D) A ⊃ (D • E)
E) A ⊃ (B • D)

Question

Quizplus · Accepted Answer

The Answer of 1. A ⊃ (B $ \lor $ C)
2. ∼A $ \lor $ (D $ \lor $ E)
3. ∼(C $ \lor $ E)
-Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
A) A ⊃ C
B) A ⊃ E
C) A ⊃ (B • C)
D) A ⊃ (D • E)
E) A ⊃ (B • D)

1 a ⊃ (B ∨ \lor ∨ C) 2 ∼A ∨ \lor ∨

1 a ⊃ (B $\lor$ C)
2 ∼A $\lor$