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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.
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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zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.0ok does the first one make sense? "all animals that are not dogs are not mammals". Hint: cats are not dogs, but they are mammals.

meowandwow
 3 years ago
Best ResponseYou've already chosen the best response.0The last one is the best choice ^.^ Because dogs are mammals.

Directrix
 3 years ago
Best ResponseYou've already chosen the best response.0An 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

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.0right, 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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