Question

Write an equivalent sentence for the statement. It is false that cats are lazy or dogs are not friendly. (Hint: Use De Morgan's laws.)

A. Cats are not lazy or dogs are not friendly.

B. Cats are not lazy and dogs are friendly.

C. Cats are lazy and dogs are friendly.

D. Cats are not lazy or dogs are friendly.

Answer 1

De Morgan's Law in words:
Not (a OR b)
is the same thing as
(not a) AND (not b)

Answer 2

It is false that cats are lazy or dogs are not friendly
----Not--- ----a----- OR ------b---------

Answer 3

So, what would this be?
---not a---- AND ---not b-----
replacing a and b with the words from our sentence?