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# math 116 notes week 4 MATH 116

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This 3 page Class Notes was uploaded by Stacey Boateng on Sunday February 14, 2016. The Class Notes belongs to MATH 116 at Radford University taught by William Case in Spring 2016. Since its upload, it has received 13 views. For similar materials see Math and Humanity in Mathematics (M) at Radford University.

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Date Created: 02/14/16

Math 116: Set operators. Union & intersection A union of two sets id denoted by: A B= {x|x A or x B} An intersection of two sets is denoted by: A B= { x|x A and x B} Example : Use the following sets- A= {1,2,3,4,5,6,7} B={4,5,6,7,8,9} to find A B and A B A B= {1,2,3,4,5,6,7,8,9} A B= {4,5,6,7} Compliment of a set: The set of elements in the universal set that are not elements od a set A A ={ x|x A and x c } Example: Use the following sets A= {1,2,3,4,5} B= {2,4,6,8} U= 1 1 {1,2,3,4,5,6,7,8,9} to find a and B A = {5,6,7,8,9} B = {1,3,5,7,9} **** Exam Thursday February 18 *****th Venn Diagrams and Cardinality: Venn Diagram: a diagram representation of a set where each circle represents a set and the universal set is represented by the outside box Shade the portion that represents A B: Shade the portion that represents A B: Compliment of a set: { x1x and x } Shade the portion that represents A (compliment) Cardinality: The number of elements in a given set The number of elements in a given set is denoted by: n(A) Example: Use the sets and Venn Diagram below to answer the following questions about the cardinality of each set. Find n(A)= 3 Find n(N)= 4 Find n( A B)= 5 Find n( A B)= 2 Formula: n( A B)= n( A)+ n(B)- n(A B) Example 1: given that n(A)= 34 n(B)= 45 and n(A B)= 6 find ( A B): 34+ 45=79-6= 73 Example 2: given that n(A)= 85 n(B)= 95 and ( A B)= 54 find (A B): 154=85+95-x -180 -180 -26= -x 26=x

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