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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