A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
crystal1
 2 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
 2 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.

This Question is Closed

zzr0ck3r
 2 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
 2 years ago
Best ResponseYou've already chosen the best response.0The last one is the best choice ^.^ Because dogs are mammals.

Directrix
 2 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
 2 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
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.