“All dogs are mammals.” Which of these is a logically equivalent statement? All animals that are not dogs are not mammals. If it is not a dog, it is not a mammal. All dogs are furry. If it is not a mammal, it is not a dog.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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“All dogs are mammals.” Which of these is a logically equivalent statement? All animals that are not dogs are not mammals. If it is not a dog, it is not a mammal. All dogs are furry. If it is not a mammal, it is not a dog.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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ok does the first one make sense? "all animals that are not dogs are not mammals". Hint: cats are not dogs, but they are mammals.
The last one is the best choice ^.^ Because dogs are mammals.
thnks

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An implication and its contrapositive are logically equivalent. As an implication, All dogs are mammals" can be written as If an animal is a dog, then the animal is a mammal. The contrapositve of that statement is: If the animal is not a mammal, then the animal is not a dog. ------- Answer: If it is not a mammal, it is not a dog. is logically equivalent to the given statement. Suggestion: Go to the following link and study a bit about implications: http://www.regentsprep.org/Regents/math/geometry/GP2/PracRC.htm
right, you should check those out. then all you have to remember is if P implies Q then, not Q implies not P. it will make life easy:) note: here we have P = its a dog and Q = its a mammal

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