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crystal1

  • 3 years ago

“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.

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  1. zzr0ck3r
    • 3 years ago
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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.

  2. meowandwow
    • 3 years ago
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    The last one is the best choice ^.^ Because dogs are mammals.

  3. crystal1
    • 3 years ago
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    thnks

  4. Directrix
    • 3 years ago
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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

  5. zzr0ck3r
    • 3 years ago
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    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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