Question

Given the following premises:

1. ∼A ⊃ ∼S
2. (E . L) ⊃ (∼Q V ∼A)
3. ∼A
Select one:
a. ∼S 1, 3, MP
b. E . L 2, Simp
c. ~Q 2, 3, DS
d. E 2, Simp

Answer 1

The correct answer is c. ~Q (2, 3, DS).

Step-by-step explanation:

The correct answer is c. ~Q (2, 3, DS).

DS stands for Disjunctive Syllogism.

1. ∼A ⊃ ∼S (Premise 1)
2. (E . L) ⊃ (∼Q V ∼A) (Premise 2)
3. ∼A (Premise 3)
4. ∼Q (2, 3, DS)

Given that premise 2 states that (E . L) implies (∼Q V ∼A), and premise 3 states that ∼A, we can apply the Disjunctive Syllogism to infer ∼Q.