Question

5. For problems A-E, write the converse, inverse, and contrapositive statements based on the given

conditional statement.
A. If I own a dog, then I own an animal.
Converse:
Inverse:
Contrapositive:
B. If I go to be early, then I sleep well.
Converse:
C.if this is Thursday, then I do not go to church.
Converse:
Inverse:
Converse:
D. If today is Wednesday, then yesterday was Tuesday.
Converse:
Inverse:
Converse:
E. If 5X equals 10, then X equals two.
Converse:
Inverse:

Answer 1

Explanation:

Conditional Statement: If it is a beagle, it is a dog.

Converse: If it is a dog, it is a beagle. This is a false statement, since a dog can be any other breed (ex. Pomeranian).

Inverse: If it is not a beagle, it is not a dog. Again a false statement, since if it is a different breed, it is a dog despite not being a beagle. For example, it could be a Pomeranian.

Contrapositive: If it not a dog, it is not a beagle. This is true, since if something is not a dog, it won't be any particular breed of dog either (and it won't be a beagle).