58. Consider the following subsets of the set of all students: A = set of all co

Question

58. Consider 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 physies 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

Explanation / Answer

a. Dc U Bc

Complement of D is female students and complement of B is set of students who are not physics majors

b

C - A

C is the set of all science majors and - denotes difference for   the set of all who are not computer science majors.

c

D U C

D is the set of all female students and C is the set of all science majors.

d.

C - (A U B)

C is the set of students who are Science majors and AUB is the set of students who are computer science majors or physics major. Their difference gives us the students who are science majors but are neither computer scoence or physics majors.

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