Answer: Let's denote the set of all sophomores at the school as "A" and the set of all students in discrete mathematics at the school as "B". Then:
The set of sophomores who are also in discrete mathematics, "A ∩ B", can be expressed as the intersection of sets A and B.
The set of all students who are either sophomores or in discrete mathematics, "A ∪ B", can be expressed as the union of sets A and B.
The set of all students who are sophomores but not in discrete mathematics, "A - B", can be expressed as the difference of set A and B.
The set of all students who are not sophomores and not in discrete mathematics, "U - (A ∪ B)", where "U" is the universal set of all students in the school, can be expressed as the complement of the union of sets A and B.
Step-by-step explanation: