Computer Science Majors and CSE 191 Students

How can we express different sets of students who are computer science majors and taking CSE 191?

a) What is the set of computer science majors who are taking CSE 191?

b) How do we represent the set of computer science majors who are not taking CSE 191?

c) How can we express the set of students who are either computer science majors or are taking CSE 191?

d) What is the set of students who are either not computer science majors or are not taking CSE 191?

Answers:

a) A AND B

b) A AND (not B)

c) A OR B

d) (not A) OR (not B)

In set theory, sets can be combined using set operators to represent different categories of elements. Let's break down the answers to the questions:

a) The set of computer science majors who are taking CSE 191:

This set can be represented as A AND B, where A is the set of computer science majors and B is the set of students taking CSE 191. It includes students who belong to both sets, meaning they are computer science majors and are enrolled in CSE 191.

b) The set of computer science majors who are not taking CSE 191:

This set can be represented as A AND (not B), which means it consists of students who are computer science majors but are not taking CSE 191. They are a part of the computer science majors set but have not enrolled in CSE 191.

c) The set of students who are either computer science majors or are taking CSE 191:

This set is expressed as A OR B, combining students who are either computer science majors, students taking CSE 191, or both. It includes all students who fall into either of the two categories.

d) The set of students who are either not computer science majors or are not taking CSE 191:

Represented as (not A) OR (not B), this set comprises students who do not belong to the computer science majors set, students who are not taking CSE 191, or those who do not meet both conditions. It encompasses all students who are not part of both specified sets.