Conside the following subsets of the set of all students A s

Conside the following subsets of the set of all students:

A= set of all computer science majors

B= set of all physics majors

C= set of all science majors

D= set of all female students

Using set operations, describe each of the following sets in terms of A,B,C, and D:

a. set of all male students who are not physics majors

b. set of all science majors who are not computer science majors

c. set of all students who are female or science majors

d. set of all students who are science majors but are neither computer science nor physics majors.

Solution

1) D\'-B

explanation: all male students is D\' that is leaving all female students.Then from male we have to remove those who are not physics major so subtract the physics major i.e B

2) C-A

Explanation: set of science major is C from which we have to remove those who are not major in computer science.Subtract from the set A

3) DUC

combine C abd B set

4) C-(AUB)

All cs and physics major is AUB which is subtarcted from science major