Let $I(x)$ be the statement “$x$ has an Internet connection”and $C(x, y)$ be the statement “$x$ and $y$ have chatted over the Internet,” where the domain for the variables $x$ and $y$ consists of all students in your class. Use quantifiers to express each of these statements.
- Jerry does not have an Internet connection.
- Rachel has not chatted over the Internet with Chelsea.
- Jan and Sharon have never chatted over the Internet.
- No one in the class has chatted with Bob.
- Sanjay has chatted with everyone except Joseph.
- Someone in your class does not have an Internet connection.
- Not everyone in your class has an Internet connection.
- Exactly one student in your class has an Internet connection.
- Everyone except one student in your class has an Internet connection.
- Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class.
- Someone in your class has an Internet connection but has not chatted with anyone else in your class.
- There are two students in your class who have not chatted with each other over the Internet.
- There is a student in your class who has chatted with everyone in your class over the Internet.
- There are at least two students in your class who have not chatted with the same person in your class.
- There are two students in the class who between them have chatted with everyone else in the class.