<p> Sets and Set Operations</p><p>Objectives:  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.</p><p>Vocabulary:  roster notation Term Symbol Read as  set-builder notation union  well defined set intersection  cardinal number complement  empty set subset  subset  proper/improper Cardinal Number Formula for Union of subset Sets:  intersection of sets  union of sets  mutually exclusive Cardinal Number Formula for Complement  complement of a set of a Set:</p><p>Symbol Term empty set in not in number</p><p>Sets and Set Operations Page 1 of 3 Possible Classroom Examples:</p><p>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 numbers</p><p>Given 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: 7  A  True or false: 5  B  A  B A  B  B  A  B</p><p>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 n(A  B)  40 n(A  B)</p><p>In a recent health survey, 750 single men in their twenties were asked to check the appropriate box or boxes on the following form:</p><p>I am a member of a private gym. </p><p>I am a vegetarian.</p><p>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 gym and vegetarians?</p><p>Sets and Set Operations Page 2 of 3 Determine how many cards, in an ordinary deck of 52, fit the description. a. clubs or twos b. face cards or diamonds c. threes or sixes d. threes and sixes</p><p>Deck of Cards Hearts – Red Diamonds – Red</p><p>Clubs – Black Spades – Black</p><p>Sets and Set Operations Page 3 of 3</p>