Let A be the set of students in a discrete mathematics course in your university and B

Problem 8

Let A be the set of students in a discrete mathematics course in your university and B the set of students majoring in computer science in your university. Describe the students in each of the following sets.

(a) .        (b) .        (c) .        (d) .

(e) .        (f) .        (g) .

Step By Step Solutions

Step 1 of 8

Given,

 = The set of students in a discrete mathematics course in your university.

 = The set of students majoring in computer science in your university.

      * The union  of  and  is the set of elements belonging to at least one of  and

      * The intersection  of  and  is the set of elements belonging to both  and .

      * The difference  of two sets  and  is defined as:

      * The difference  of two sets  and  is defined as:

      * The symmetric difference  of two sets  and  is defined by:

      * For a set  (which is therefore a subset of the universal set U being considered), the complement  of  is the set of elements (in the universal set) not belonging to . That is,