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

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

Question 592849: INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1. Q > (H � L)
2. H > ~Q
3. L > ~Q

A. Q > ~Q 1, 3, HS

B. (L > ~Q) � (H > ~Q) 2, 3, Conj

C. (Q > H) > L 1, Exp

D. H > L 2, 3, HS

E. L > (H � L) 1, 3, HS
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
A. Q > ~Q 1, 3, HS
Incorrect use of hypothetical syllogism, so this choice is out.
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B. (L > ~Q) � (H > ~Q) 2, 3, Conj

This is a correct and valid use of the conjunction property
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C. (Q > H) > L 1, Exp

Invalid use of the exportation property. This choice has everything all backwards.
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D. H > L 2, 3, HS

More improper use of the hypothetical syllogism...
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E. L > (H � L) 1, 3, HS

Even more incorrect use of the hypothetical syllogism

So the only valid answer is choice B
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