A discrete mathematics class contains 1 mathematics ma-jor who is a freshman, 12 mathematics majors who are sophomores, 15 computer science majors who are sophomores, 2 mathematics majors who are juniors, 2 computer science majors who are juniors, and 1 computer science major who is a senior. Express each of these statements in terms of quantifiers and then determine its truth value.
- There is a student in the class who is a junior.
- Every student in the class is a computer science major.
- There is a student in the class who is neither a mathematics major nor a junior.
- Every student in the class is either a sophomore or a computer science major.
- There is a major such that there is a student in the class in every year of study with that major