MAT 208 SET Activity Name Jennifer Rogers 1. In a separate document, you were introduced to the game SET. The universal set, U, is defined as the complete set of cards as shown in the document. What is the cardinality of U? Cardinality is the number of items in a set. Since there are 81 cards in the game SET, the cardinality of U is 81. 2. We will define the following sets of SET cards: R = \"the set of red cards\" L = \"the set of cards with light shading\" P = \"the set of purple cards\" M = \"the set of cards with medium shading\" G = \"the set of green cards\" H = \"the set of cards with heavy shading\" Using the sets defined above, find the following: a. n(R) = the cardinality of the set of red cards is 27 b. n(RP) = the cardinality of the union of the set of red cards and purple cards is 27+27=54 c. n(GL) = the cardinality of the intersection of the set of green cards and cards with light shading is 9 d. In words, describe the complement of set M. the complement of set M is the set of cards with light shading and heavy shading e. In words, describe the set difference H-G. the set difference of the set of cards with heavy shading minus the set of green cards is the set of purple cards with heavy shading and red cards with heavy shading f. Give two sets that are disjoint sets. Disjoint sets are sets that have no elements in common. Suppose A=RL and B=GM. A and B are disjoint sets. Suppose C=PM and D=GL. C and D are disjoint sets. g. Give two sets that are not disjoint sets. Sets that are not disjoint are sets that share elements. R and L are not disjoint because R includes cards with light shading. Similarly, P and H are not disjoint because P contains cards with heavy shading. 3. Consider the layout of twelve SET cards shown below, labeled A through L. There are six possible sets. List them in the space provided (for example, if cards A, B, and C form a set, type ABC ). 1. DCG 2. ABE 3. GJK 4. IEL 5. DAF 6. CJH