Express each of these statements using quantifiers. Then form the negation of the statement so that no negation is to the left of a quantifier. Next, express the negation in simple English. (Do not simply use the phrase “It is not the case that.”)
- Every student in this class has taken exactly two mathematics classes at this school.
- Someone has visited every country in the world except Libya.
- No one has climbed every mountain in the Himalayas.
- Every movie actor has either been in a movie with Kevin Bacon or has been in a movie with someone who has been in a movie with Kevin Bacon