In a separate document, you were introduced to the cards used in the game SET 8 . Problems 1 and 2 will refer to the complete deck of cards (shown in Figure 1) as the universal set, U. Also, we are NOT considering the rules of the game until problem number 3 for the Critical Thinking problem.\ What is the cardinality of U? Explain. Click or tap here to enter text.\ We will define the following sets of cards. Note that each of these is a subset of

U

.\

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 and give an explanation for your reasoning:\ a.

n(R)=

Click or tap here to enter text.\ b.

n(R\\\\cup P)=

Click or tap here to enter text.\ c.

n(G\\\\cap L)=

Click or tap here to enter text.\ d. In words, describe the complement of set M. Click or tap here to enter text.\ e. In words, describe the set difference H-G. Click or tap here to enter text.\ f. Give two sets that are disjoint sets. Click or tap here to enter text.\ g. Give two sets that are not disjoint sets. Click or tap here to enter text.\ Consider the layout of twelve SET cards shown below, labeled A through L.\ Critical Thinking: There are six possible "sets," as defined by the rules of the SET game. List them in the space provided (for example, if cards A, B, and C form a SET

^(S )

, type

ABC_( )

.

In a separate document, you were introduced to the cards used in the game SET. Problems 1 and 2 will refer to the complete deck of cards (shown in Figure 1) as the universal set, U. Also, we are NOT considering the rules of the game until problem number 3 for the Critical Thinking problem. 1. What is the cardinality of U? Explain. Click or tap here to enter text. 2. We will define the following sets of cards. Note that each of these is a subset of U. 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 and give an explanation for your reasoning: a. n(R)= Click or tap here to enter text. b. n(RP)= Click or tap here to enter text. c. n(GL)= Click or tap here to enter text. d. In words, describe the complement of set M. Click or tap here to enter text. e. In words, describe the set difference H-G. Click or tap here to enter text. f. Give two sets that are disjoint sets. Click or tap here to enter text. g. Give two sets that are not disjoint sets. Click or tap here to enter text. 3. Consider the layout of twelve SET R cards shown below, labeled A through L. Critical Thinking: There are six possible "sets," as defined by the rules of the SET R game. List them in the space provided (for example, if cards A, B, and C form a SET, type ABC)