Use De Morgan's laws to write the negation of the statement.
The dog is yellow or it is fuzzy.
A)The dog isn't yellow or it is fuzzy.
B)The dog isn't yellow and it is fuzzy.
C)The dog isn't yellow or it isn't fuzzy.
D)The dog isn't yellow and it isn't fuzzy.

Question

Quizplus · Accepted Answer

The statement "The dog is yellow or it is fuzzy" can be translated as "P or Q" where P stands for "The dog is yellow" and Q for "The dog is fuzzy". The negation of "P or Q" is "not P and not Q" which translates to "The dog isn't yellow and it isn't fuzzy". Therefore, the correct choice is D. The negation using De Morgan's laws would be "The dog is not yellow and it is not fuzzy." This is equivalent to saying "Not (The dog is yellow or it is fuzzy)."

Use De Morgan's Laws to Write the Negation of the Statement