Sets and Set OperationsObjectives:- Determine if a set is well defined.- Write all the subsets of a given set and label the subsets as proper or improper.- Given a universal set and some subsets, find a complement,intersection or union.- Draw a Venn diagram to illustrate two sets.- Use the cardinal number formula.Vocabulary:- roster notation- set-builder notation- well defined set- cardinal number- empty set- subset- proper/improper subset- intersection of sets- union of sets- mutually exclusive- complement of a setTerm Symbol Read asunionintersectioncomplementsubsetCardinal Number Formula for Union of Sets:Cardinal Number Formula for Complement of a Set:SymbolTermempty setinnot innumberSets and Set Operations Page 1 of 3Possible Classroom Examples:Is the given set well-defined?- the set of all pink automobiles- the set of all good bands- the set of odd numbers- the set of small numbersGiven the sets U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {0, 2, 4, 5, 6, 8}, and B = {1, 3, 5, 7, 9}- Find n(B).- True or false: A7- True or false: B5- A - B BA -B-BA Suppose n(U) = 61, n(A) = 32, n(B) = 26. - If n(A-B) = 40, find n(A-B) and draw a Venn diagram illustrating the composition of U 40)( BAn )( BAn In a recent health survey, 750 single men in their twenties were asked to check the appropriate box or boxes on the following form:I am a member of a private gym. I am a vegetarian.The results were tabulated as follows: 374 checked the gym box, 92 checked the vegetarian box, and 332 were blank (no boxes checked).a. Draw a Venn diagram illustrating the results of the survey.b. What percent of these men were both members of a private gymand vegetarians?Sets and Set Operations Page 2 of 3Determine how many cards, in an ordinary deck of 52, fit the description.a. clubs or twosb. face cards or diamondsc. threes or sixesd. threes and sixesDeck of CardsHearts – Red Diamonds – RedClubs – Black Spades – BlackSets and Set Operations Page 3 of
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