Question

Which of the following is a negation for "All dogs are loyal"? (Select all that apply.)

A. All dogs are disloyal.
B. No dogs are loyal.
C. Some dogs are disloyal.
D. Some dogs are loyal.
E. There is a disloyal animal that is not a dog.
F. There is a dog that is disloyal.
G. No animals that are not dogs are loyal.
H. Some animals that are not dogs are loyal.

Answer 1

The negation of the statement "All dogs are loyal" is the statement "Not all dogs are loyal". The correct answers are A. All dogs are disloyal and F. There is a dog that is disloyal.

Step-by-step explanation:

The negation of the statement "All dogs are loyal" is the statement "Not all dogs are loyal". So the correct answers are A. All dogs are disloyal and F. There is a dog that is disloyal. These options express the idea that there exists at least one dog that is not loyal, which is the opposite of the original statement.