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P= the puppy behaves well

q= his owners are happy
r= the puppy is trained
r -> ( p ^ q)
A)The puppy is trained, the puppy behaves well, and his owners are happy.
B) The puppy is trained and the puppy behaves well if his owners are happy.
C) If the puppy is trained, then the puppy behaves well and his owners are happy.
D) If the puppy is trained and the puppy behaves well, then his owners are happy.
Let
p= People buy large houses.
q= "Fossil fuels pollute the air.

User Alex Lynch
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1 Answer

1 vote

Final answer:

Option C, 'If the puppy is trained, then the puppy behaves well and his owners are happy,' corresponds correctly with the given logical expression r -> (p ^ q).

Step-by-step explanation:

The given logical expression r -> (p ^ q) translates to 'if the puppy is trained (r), then the puppy behaves well (p) and his owners are happy (q)'. This statement is a conditional that specifies a cause and effect relationship between the puppy being trained and the subsequent behaviors and emotions. Choice C, 'If the puppy is trained, then the puppy behaves well and his owners are happy,' accurately matches this logical expression. It contains the key elements of the premise r and the consequences p and q linked together in the correct manner as per the original statement.

User Saw
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