Question

Select the conclusion that follows in a single step from the given premises.

Given the following premises:
1. ∼D ∨ ∼T
2. D ∨ (∼T • ∼R)
3. D
Group of answer choices
A. (D ∨ ∼T) (D ∨ ∼R) 2, Dist
B. (D ∨ ∼T) R 2, Assoc
C. D ∨ T 1, DN
D. ∼T 1, 3, DS
E. ∼T ∼R 2, 3, DS

Answer 1

The given argument is in the form of a disjunctive syllogism, which is a valid deductive inference. The conclusion that follows in a single step from the given premises is (D | ~R).

Step-by-step explanation:

The given argument is in the form of a disjunctive syllogism, which is a valid deductive inference. In this argument, the premises state that either ∼D (not D) or ∼T (not T) is true (premise 1), and that either D or both ∼T and ∼R are true (premise 2). The conclusion that follows in a single step from these premises is (D ∨ ∼R) according to the disjunctive syllogism.