Which of the following statements is logically equivalent to the statement 'Some dogs are not aggressive animals'?
ASome aggressive animals are not dogs
BSome non-aggressive animals are not non-dogs ✓ Correct
CSome dogs are aggressive animals
DSome non-dogs are aggressive animals
Correct answer: (B) Some non-aggressive animals are not non-dogs
Explanation
Some non-aggressive animals are not non-dogs carries the same content as the original O.
The given statement is the particular negative Some dogs are not aggressive animals.
Obverting gives Some dogs are non-aggressive animals, an I proposition.
Converting that I gives Some non-aggressive animals are dogs.
Obverting once more yields Some non-aggressive animals are not non-dogs, the full contrapositive.
This obvert-convert-obvert chain preserves the truth of an O proposition.
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