The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana. $\begin{array} { l l l } \underline { \text { Alabama } } & \underline { \text { Arkansas } } & \underline { \text { Louisiana } } \\ \text { soybeans (s) } & \text { soybeans (s) } & \text { soybeans (s) } \\ \text { peanuts (p) } & \text { rice (r) } & \text { sugarcane (n) } \\ \text { corn (c) } & \text { cotton (t) } & \text { rice (r) } \\ \text { hay (h) } & \text { hay (h) } & \text { corn (c) } \\ \text { wheat (w) } & \text { wheat (w) } & \text { cotton (t) } \end{array}$ Let U be the smallest possible universal set that includes all of the crops listed, and let A, K and L be the sets of five crops in Alabama, Arkansas, and Louisiana, respectively. Find each of the following sets. -$\mathrm { K } \cup \mathrm { L }$

A) $\{ c , h , n , w \}$ B) $\{ r , s , t \}$ C) $\{ c , h , n , r , s , t , w \}$ D) $\{ n , r , t \}$ A) $\{ c , h , n , w \}$ B) $\{ r , s , t \}$ C) $\{ c , h , n , r , s , t , w \}$ D) $\{ n , r , t \}$

Exam 2: The Basic Concepts of Set Theory

Solve the problem. -Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and A dog. How many of the students surveyed own only a cat?

(Multiple Choice)

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Question 201

Find the cardinal number of the indicated set. Use the cardinal number formula. -If $n ( A ) = 20 , n ( A \cup B ) = 58$ , and $n ( A \cap B ) = 16$ , find $n ( B )$ .

(Multiple Choice)

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Question 202

Draw an appropriate Venn diagram and use the given information to fill in the number of elements in each region. - $\mathrm { n } ( \mathrm { U } ) = 52 , \mathrm { n } ( \mathrm { A } ) = 28 , \mathrm { n } ( \mathrm { A } \cap \mathrm { B } ) = 4 , \mathrm { n } \left( \mathrm { B } ^ { \prime } \right) = 28$

(Multiple Choice)

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Question 203

Find the cardinal number of the set. - Given: start text end text n(U)=60 n(A)=35 n(B)=20 $n ( A \cap B )$ =4 Find $n ( A \cup B ) ^ { \prime }$ . $Find the cardinal number of the set. - Given: \text { } \begin{aligned} & n ( U ) = 60 \\ & n ( A ) = 35 \\ & n ( B ) = 20 \\ \end{aligned} n ( A \cap B ) =4 Find n ( A \cup B ) ^ { \prime } .$

(Multiple Choice)

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Question 204

Complete the blank with either $\in$ or $\notin$ to make the statement true. - $\{ - 5 \} .... \{ - 4 - 3 , - 3 - 3 , - 2 - 3 , - 1 - 3 \}$

(Multiple Choice)

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Question 205

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - $A \cap B$

(Multiple Choice)

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Question 206

Solve the problem. -A committee is to be formed. Possible candidates for the committee are Eric, Frances, Greg, and Jose. Denoting these four people by e, f, g, j, list all possible committees of two people (ie list all Possible subsets of size two).

(Multiple Choice)

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Question 207

Write true or false for the following statement. Let A=\{3,5,7,9,11,13\} B=\{3,5,9,11\} C=\{5,9,13\} -Every element of C is also an element of A.

(True/False)

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Question 208

The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana. soybeans (s) soybeans (s) soybeans (s) peanuts (p) rice (r) sugarcane (n) corn (c) cotton (t) rice (r) hay (h) hay (h) corn (c) wheat (w) wheat (w) cotton (t) Let U be the smallest possible universal set that includes all of the crops listed, and let A, K and L be the sets of five crops in Alabama, Arkansas, and Louisiana, respectively. Find each of the following sets. - $\mathrm { K } \cup \mathrm { L }$

(Multiple Choice)

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Question 209

Write a description of the shaded region using the symbols A, B, C, $\cup$ , $\cap$ , -, and ' as needed. - $Write a description of the shaded region using the symbols A, B, C, \cup , \cap , -, and ' as needed. -$

(Multiple Choice)

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Question 210

Find the number of subsets of the set. - $\{ x \mid x$ is an even number between 11 and $27 \}$

(Multiple Choice)

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Question 211

Tell whether the statement is true or false. -(9 + 17, 15 + 17)= (9, 15)

(True/False)

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Question 212

Determine whether the statement is true or false. Let $A = \{ 1,3,5,7 \}$ B=\{5,6,7,8\} C=\{5,8\} D=\{2,5,8\} U=\{1,2,3,4,5,6,7,8\} - $D \subseteq B$

(True/False)

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Question 213

List the elements in the set. - $\{ x \mid x$ is an even integer smaller than $8 \}$

(Multiple Choice)

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Question 214

Determine whether the sets are equal, equivalent, both, or neither. - $\left\{ \frac { 1 } { 10 } , \frac { 2 } { 10 } , \frac { 3 } { 10 } \right\}$ and $\{ 0.1,0.2,0.3 \}$

(Multiple Choice)

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Question 215

Write the set in set-builder notation. - $\{ 17,18,19,20 \}$

(Multiple Choice)

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Question 216

Show that the set has cardinal number $Show that the set has cardinal number by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets. - \{ 4,8,12,16 , \ldots \}$ by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets. - $\{ 4,8,12,16 , \ldots \}$

(Multiple Choice)

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Question 217

Find the number of proper subsets of the set. -{car, boat, truck, train}

(Multiple Choice)

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Question 218

$\text { Use } \subset \text { or } \not \subset \text { in the blank to make a true statement. }$ - $\{ e , n , j \} \ldots \{ e , e , n , n , j , j \}$

(Multiple Choice)

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(79)

Question 219

Determine whether the statement is true or false. Let $A = \{ 1,3,5,7 \}$ B=\{5,6,7,8\} C=\{5,8\} D=\{2,5,8\} U=\{1,2,3,4,5,6,7,8\} - $C \nsubseteq \mathrm { A }$

(True/False)

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Question 220

Solve the problem. -Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and A dog. How many of the students surveyed own only a cat?

Find the cardinal number of the indicated set. Use the cardinal number formula. -If $n ( A ) = 20 , n ( A \cup B ) = 58$ , and $n ( A \cap B ) = 16$ , find $n ( B )$ .

Complete the blank with either $\in$ or $\notin$ to make the statement true. - $\{ - 5 \} .... \{ - 4 - 3 , - 3 - 3 , - 2 - 3 , - 1 - 3 \}$

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - $A \cap B$

Solve the problem. -A committee is to be formed. Possible candidates for the committee are Eric, Frances, Greg, and Jose. Denoting these four people by e, f, g, j, list all possible committees of two people (ie list all Possible subsets of size two).

Write true or false for the following statement. Let A=\{3,5,7,9,11,13\} B=\{3,5,9,11\} C=\{5,9,13\} -Every element of C is also an element of A.

Write a description of the shaded region using the symbols A, B, C, $\cup$ , $\cap$ , -, and ' as needed. - $Write a description of the shaded region using the symbols A, B, C, \cup , \cap , -, and ' as needed. -$

Find the number of subsets of the set. - $\{ x \mid x$ is an even number between 11 and $27 \}$

Tell whether the statement is true or false. -(9 + 17, 15 + 17)= (9, 15)

Determine whether the statement is true or false. Let $A = \{ 1,3,5,7 \}$ B=\{5,6,7,8\} C=\{5,8\} D=\{2,5,8\} U=\{1,2,3,4,5,6,7,8\} - $D \subseteq B$

List the elements in the set. - $\{ x \mid x$ is an even integer smaller than $8 \}$

Determine whether the sets are equal, equivalent, both, or neither. - $\left\{ \frac { 1 } { 10 } , \frac { 2 } { 10 } , \frac { 3 } { 10 } \right\}$ and $\{ 0.1,0.2,0.3 \}$

Write the set in set-builder notation. - $\{ 17,18,19,20 \}$

Find the number of proper subsets of the set. -{car, boat, truck, train}

$\text { Use } \subset \text { or } \not \subset \text { in the blank to make a true statement. }$ - $\{ e , n , j \} \ldots \{ e , e , n , n , j , j \}$

Determine whether the statement is true or false. Let $A = \{ 1,3,5,7 \}$ B=\{5,6,7,8\} C=\{5,8\} D=\{2,5,8\} U=\{1,2,3,4,5,6,7,8\} - $C \nsubseteq \mathrm { A }$

The Art of Problem Solving

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 2: The Basic Concepts of Set Theory

Solve the problem. -Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and A dog. How many of the students surveyed own only a cat?

Find the cardinal number of the indicated set. Use the cardinal number formula. -If n(A)=20,n(A∪B)=58n ( A ) = 20 , n ( A \cup B ) = 58n(A)=20,n(A∪B)=58 , and n(A∩B)=16n ( A \cap B ) = 16n(A∩B)=16 , find n(B)n ( B )n(B) .

Find the cardinal number of the set. - Given: start text end text n(U)=60 n(A)=35 n(B)=20 n(A∩B)n ( A \cap B ) n(A∩B) =4 Find n(A∪B)′n ( A \cup B ) ^ { \prime }n(A∪B)′ .

Complete the blank with either ∈\in∈ or ∉\notin∈/ to make the statement true. - {−5}....{−4−3,−3−3,−2−3,−1−3}\{ - 5 \} .... \{ - 4 - 3 , - 3 - 3 , - 2 - 3 , - 1 - 3 \}{−5}....{−4−3,−3−3,−2−3,−1−3}

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - A∩BA \cap BA∩B

Solve the problem. -A committee is to be formed. Possible candidates for the committee are Eric, Frances, Greg, and Jose. Denoting these four people by e, f, g, j, list all possible committees of two people (ie list all Possible subsets of size two).

Write true or false for the following statement. Let A=\{3,5,7,9,11,13\} B=\{3,5,9,11\} C=\{5,9,13\} -Every element of C is also an element of A.

Write a description of the shaded region using the symbols A, B, C, ∪\cup∪ , ∩\cap∩ , -, and ' as needed. -

Find the number of subsets of the set. - {x∣x\{ x \mid x{x∣x is an even number between 11 and 27}27 \}27}

Tell whether the statement is true or false. -(9 + 17, 15 + 17)= (9, 15)

Determine whether the statement is true or false. Let A={1,3,5,7}A = \{ 1,3,5,7 \}A={1,3,5,7} B=\{5,6,7,8\} C=\{5,8\} D=\{2,5,8\} U=\{1,2,3,4,5,6,7,8\} - D⊆BD \subseteq BD⊆B

List the elements in the set. - {x∣x\{ x \mid x{x∣x is an even integer smaller than 8}8 \}8}

Determine whether the sets are equal, equivalent, both, or neither. - {110,210,310}\left\{ \frac { 1 } { 10 } , \frac { 2 } { 10 } , \frac { 3 } { 10 } \right\}{101​,102​,103​} and {0.1,0.2,0.3}\{ 0.1,0.2,0.3 \}{0.1,0.2,0.3}

Write the set in set-builder notation. - {17,18,19,20}\{ 17,18,19,20 \}{17,18,19,20}

Show that the set has cardinal number by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets. - {4,8,12,16,…}\{ 4,8,12,16 , \ldots \}{4,8,12,16,…}

Find the number of proper subsets of the set. -{car, boat, truck, train}

Determine whether the statement is true or false. Let A={1,3,5,7}A = \{ 1,3,5,7 \}A={1,3,5,7} B=\{5,6,7,8\} C=\{5,8\} D=\{2,5,8\} U=\{1,2,3,4,5,6,7,8\} - C⊈AC \nsubseteq \mathrm { A }C⊈A

The Art of Problem Solving

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Find the cardinal number of the indicated set. Use the cardinal number formula. -If $n ( A ) = 20 , n ( A \cup B ) = 58$ , and $n ( A \cap B ) = 16$ , find $n ( B )$ .

Complete the blank with either $\in$ or $\notin$ to make the statement true. - $\{ - 5 \} .... \{ - 4 - 3 , - 3 - 3 , - 2 - 3 , - 1 - 3 \}$

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - $A \cap B$

Write a description of the shaded region using the symbols A, B, C, $\cup$ , $\cap$ , -, and ' as needed. - $Write a description of the shaded region using the symbols A, B, C, \cup , \cap , -, and ' as needed. -$

Find the number of subsets of the set. - $\{ x \mid x$ is an even number between 11 and $27 \}$

Determine whether the statement is true or false. Let $A = \{ 1,3,5,7 \}$ B=\{5,6,7,8\} C=\{5,8\} D=\{2,5,8\} U=\{1,2,3,4,5,6,7,8\} - $D \subseteq B$

List the elements in the set. - $\{ x \mid x$ is an even integer smaller than $8 \}$

Determine whether the sets are equal, equivalent, both, or neither. - $\left\{ \frac { 1 } { 10 } , \frac { 2 } { 10 } , \frac { 3 } { 10 } \right\}$ and $\{ 0.1,0.2,0.3 \}$

Write the set in set-builder notation. - $\{ 17,18,19,20 \}$

Determine whether the statement is true or false. Let $A = \{ 1,3,5,7 \}$ B=\{5,6,7,8\} C=\{5,8\} D=\{2,5,8\} U=\{1,2,3,4,5,6,7,8\} - $C \nsubseteq \mathrm { A }$