SOLUTION: INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises. Given the following premises: 1. ~N v H 2. Q > ~(~N v H) 3. (~N v Q) � (H

SOLUTION: INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises. Given the following premises: 1. ~N v H 2. Q > ~(~N v H) 3. (~N v Q) � (H > Q

Question 592846: INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1. ~N v H
2. Q > ~(~N v H)
3. (~N v Q) � (H > Q)

A. Q v Q 1, 3, CD

B. ~Q 1, 2, MT

C. ~N > ~(~N v H) 2, 3, HS

D. Q > (N � ~H) 2, DM

E. H > Q 3, Simp
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The answer is choice A since this is a valid use of the constructive dilemma property.

Choice B uses modus tollens in a correct way, but you have to use double negation to do it properly. So more than one step is used. So choice B is out

Choice C uses the hypothetical syllogism, but it's completely incorrect. So choice C is out.

Choice D uses De Morgan's Law, which is valid, but it skips a step by leaving out double negation again...so choice D is out.

Choice E is correct, but commutation must be used first. So choice E is out.

So again, the answer is choice A.
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