Question

a. express the quantified statement in an equivalent way, that is, in a way that has exactly the same meaning.
b. write the negation of the quantified statement. (the negation should begin with \all,\, \some,\ or
o.\)
all cars are red.
a. which of the following expresses the quantified statement in an equivalent way?
a. there are no cars that are not red.
b. all cars are not red.
c. not all cars are red.

Explanation:

a. "All cars are red" means there are no cars of any other color, so "There are no cars that are not red" is an equivalent statement.
b. The negation of "All cars are red" is that there are some cars that are not red, which can be stated as "Some cars are not red".

Answer:

a. A. There are no cars that are not red
b. Some cars are not red