Let $M(x, y)$ be “$x$ has sent $y$ an e-mail message” and $T (x, y)$ be “$x$ has telephoned $y$,” where the domain consists of all students in your class. Use quantifiers to express each of these statements. (Assume that all e-mail messages that were sent are received, which is not the way things often work.)
- Chou has never sent an e-mail message to Koko.
- Arlene has never sent an e-mail message to or telephoned Sarah.
- José has never received an e-mail message from Deborah.
- Every student in your class has sent an e-mail message to Ken.
- No one in your class has telephoned Nina.
- Everyone in your class has either telephoned Avi orsent him an e-mail message.
- There is a student in your class who has sent everyone else in your class an e-mail message.
- There is someone in your class who has either sent an e-mail message or telephoned everyone else in your class.
- There are two different students in your class who have sent each other e-mail messages.
- There is a student who has sent himself or herself ane-mail message.
- There is a student in your class who has not received an e-mail message from anyone else in the class and who has not been called by any other student in the class.
- Every student in the class has either received an e-mail message or received a telephone call from an-other student in the class.
- There are at least two students in your class such that one student has sent the other e-mail and the second student has telephoned the first student.
- There are two different students in your class who between them have sent an e-mail message to or telephoned everyone else in the class.