Section 3.5 More Set Operators and relationships.

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Presentation transcript:

Section 3.5 More Set Operators and relationships

First Set Operations Intersection A  B Union A  B

Additional Set Operations Difference A – B B – A Symmetric Difference A  B B  A Complement A on my slides and handouts I will use A c

Activity 1 Consider the following sets: U = set of all students at UNI S = set of all students with majors in CHAS C = set of all computer science majors P = set of all physics majors F = set of all women students at UNI

Activity 1 Shade in the provided Venn diagrams for these sets 1.The set of people majoring in either computer science or physics. 2.The set of people majoring in both computer science and physics. 3.The set of computer science majors who are women. 4.The set of people who do not have a major in CHAS. 5.The set of male students who are majoring in both computer science and physics. 6.The set of female physics students and male computer science students.

Activity 2 Use the proper symbols and operators to write an expression for these sets. 1.The set of people majoring in either computer science or physics. 2.The set of people majoring in both computer science and physics. 3.The set of computer science majors who are women. 4.The set of people who do not have a major in CHAS. 5.The set of male students who are majoring in both computer science and physics. 6.The set of female physics students and male computer science students.

Activity 3 Shade the Venn diagrams and then complete following sentences without using the symbols , , and -. 1.x  (A  B) if, and only if, … 2.x  (A  B) if, and only if, … 3.x  (A – B ) if, and only if, …