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MATH 1071 VennDiagrams_11:14

# MATH 1071 VennDiagrams_11:14 - Notes MATH 1071 Venn...

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MATH 1071 Venn Diagrams (Section 8.2) November 14, 2012 Homework #11 (Due 11/26): Section 8.1 : # 46, 56 Section 8.2 : # 20, 24, 26 Clicker Check-in: Choose any letter to check in now. Patrick Newberry Venn Diagrams November 14, 2012 1 / 14 Outline 1 Venn Diagrams 2 Set Operations 3 Cardinality Examples Patrick Newberry Venn Diagrams November 14, 2012 2 / 14 Venn Diagrams A B A \ B Patrick Newberry Venn Diagrams November 14, 2012 3 / 14 Notes Notes Notes

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Venn Diagrams A B C A \ B A \ C B \ C A \ B \ C Patrick Newberry Venn Diagrams November 14, 2012 4 / 14 Set Operations Shade the indicated set in a Venn diagram. A \ ( B [ C ) A B C A \ ( B [ C 0 ) A B C ( A \ B ) [ C A B C Patrick Newberry Venn Diagrams November 14, 2012 6 / 14 Cardinality Defnition The cardinality of a set A is the number of elements in A, denoted n ( A ) or | A | . A = { 2 , 4 , 6 , 8 ,..., 18 , 20 } n ( A )= 10 Patrick Newberry Venn Diagrams November 14, 2012 7 / 14 Notes Notes Notes
Cardinality Examples Suppose n ( U )= 93 and n ( A 40 n ( B 45 n ( C 24 n ( A \ B 8 n ( A \ C 6 n ( B \ C 7 n ( A \ B \ C 5 Find n ( A \ ( B [ C ) 0 )) 31 35 16 3 1 2 5 0 A B C Patrick Newberry Venn Diagrams November 14, 2012 9 / 14 Cardinality Examples

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MATH 1071 VennDiagrams_11:14 - Notes MATH 1071 Venn...

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