The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana. $\begin{array} { l l l } \underline { \text { Alabama } } & \underline { \text { Arkansas } } & \underline { \text { Louisiana } } \\ \hline \text { soybeans (s) } & \text { soybeans (s) } & \text { soybeans (s) } \\ \text { peanuts (p) } & \text { rice (r) } & \text { sugarcane (n) } \\ \text { corn (c) } & \text { cotton (t) } & \text { rice (r) } \\ \text { hay (h) } & \text { hay (h) } & \text { corn (c) } \\ \text { wheat (w) } & \text { wheat (w) } & \text { cotton (t) } \end{array}$ 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. -The set of crops in both A and L'

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

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. -$A \cap \mathrm { K } \cap \mathrm { L }$

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

List the elements in the set . Let $\begin{array} { l } \mathrm { U } = \{ \mathrm { q } , \mathbf { r } , \mathrm { s } , \mathrm { t } , \mathbf { u } , \mathrm { v } , \mathbf { w } , \mathbf { x } , \mathrm { y } , \mathrm { z } \} \\ \mathrm { A } = \{ \mathrm { q } , \mathrm { s } , \mathrm { u } , \mathbf { w } , \mathrm { y } \} \\ \mathrm { B } = \{ \mathrm { q } , \mathrm { s } , \mathrm { y } , \mathrm { z } \} \\ \mathrm { C } = \{ \mathrm { v } , \mathbf { w } , \mathbf { x } , \mathrm { y } , \mathrm { z } \} \end{array}$ -$B \cap C$

A) $\{ y , z \}$ B) $\{ \mathrm { y } \}$ C) $\{ \mathrm { w } , \mathrm { y } , \mathrm { z } \}$ D) $\{ q , s , v , w , x , y , z \}$ A) $\{ y , z \}$ B) $\{ \mathrm { y } \}$ C) $\{ \mathrm { w } , \mathrm { y } , \mathrm { z } \}$ D) $\{ q , s , v , w , x , y , z \}$

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. -$\mathrm { L } \cap \mathrm { K }$

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

List the elements in the set . Let $\begin{array} { l } \mathrm { U } = \{ \mathrm { q } , \mathbf { r } , \mathrm { s } , \mathrm { t } , \mathbf { u } , \mathrm { v } , \mathbf { w } , \mathbf { x } , \mathrm { y } , \mathrm { z } \} \\ \mathrm { A } = \{ \mathrm { q } , \mathrm { s } , \mathrm { u } , \mathbf { w } , \mathrm { y } \} \\ \mathrm { B } = \{ \mathrm { q } , \mathrm { s } , \mathrm { y } , \mathrm { z } \} \\ \mathrm { C } = \{ \mathrm { v } , \mathbf { w } , \mathbf { x } , \mathrm { y } , \mathrm { z } \} \end{array}$ -$\mathrm { A } ^ { \prime } - \mathrm { C }$

A) $\{ v , x , z \}$ B) $\{ r , t \}$ C) $\{ \mathrm { q } , \mathrm { s } , \mathrm { u } , \mathrm { v } , \mathrm { x } , \mathrm { z } \}$ D) $\{ \mathrm { q } , \mathrm { s } , \mathrm { u } \}$ A) $\{ v , x , z \}$ B) $\{ r , t \}$ C) $\{ \mathrm { q } , \mathrm { s } , \mathrm { u } , \mathrm { v } , \mathrm { x } , \mathrm { z } \}$ D) $\{ \mathrm { q } , \mathrm { s } , \mathrm { u } \}$

Exam 2: The Basic Concepts of Set Theory

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. -The set of crops in both A and L'

(Multiple Choice)

4.8/5

(98)

Question 61

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. - $( A - D ) \cap B$

(Multiple Choice)

5.0/5

(76)

Question 62

Identify the set as finite or infinite. - $\{ x \mid x$ is a counting number larger than $398 \}$

(Multiple Choice)

4.8/5

(74)

Question 63

Find the cardinal number of the set. - $\{ x \mid x$ is a real number between $1.1$ and $1.2 \}$

(Multiple Choice)

4.7/5

(93)

Question 64

Let A and B be sets with cardinal numbers, n(A)= a and n(B)= b, respectively. Decide whether the statement is true or false. - $\text { If } \mathrm { B } \subseteq \mathrm { A } , \mathrm { n } ( \mathrm { B } ) = \mathrm { n } ( \mathrm { A } - \mathrm { B } )$

(True/False)

4.8/5

(78)

Question 65

Solve the problem. -List all possible subsets of the set {m, n}.

(Multiple Choice)

4.8/5

(77)

Question 66

Determine whether the sets are equal, equivalent, both, or neither. -{72, 40, 27} and {40, 27, 72}

(Multiple Choice)

4.9/5

(77)

Question 67

Shade the regions representing the set. - $( A \cap B ) \cup ( A \cup B ) ^ { \prime }$ $Shade the regions representing the set. - ( A \cap B ) \cup ( A \cup B ) ^ { \prime }$

(Multiple Choice)

4.8/5

(65)

Question 68

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)

4.8/5

(79)

Question 69

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. - $\left( \mathrm { A } ^ { \prime } \cap \mathrm { B } ^ { \prime } \right) \cup \mathrm { C }$

(Multiple Choice)

4.8/5

(76)

Question 70

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. - $( A \cup B ) \cup D$

(Multiple Choice)

4.8/5

(75)

Question 71

Write the set in set-builder notation. - $\{ 9,12,15,18 , \ldots , 39 \}$

(Multiple Choice)

4.9/5

(76)

Question 72

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. - $A \cap \mathrm { K } \cap \mathrm { L }$

(Multiple Choice)

4.9/5

(84)

Question 73

Tell whether the statement is true or false. - $\{ 2,8,13 \} = \{ 0,2,8,13 \}$

(True/False)

4.8/5

(74)

Question 74

Find the cardinal number of the set. - $\{ 8,9,10,11 , \ldots \}$

(Multiple Choice)

4.9/5

(81)

Question 75

List the elements in the set . Let =\{,,,,,,,,,\} =\{,,,,\} =\{,,,\} =\{,,,,\} - $B \cap C$

(Multiple Choice)

4.7/5

(77)

Question 76

Find the indicated cardinal number. -Find $n ( G )$ , given that $n ( D \times G ) = 20$ and $D = \{ 7,8,9,10 \}$ .

(Multiple Choice)

4.8/5

(84)

Question 77

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. - $\mathrm { L } \cap \mathrm { K }$

(Multiple Choice)

4.8/5

(81)

Question 78

List the elements in the set . Let =\{,,,,,,,,,\} =\{,,,,\} =\{,,,\} =\{,,,,\} - $\mathrm { A } ^ { \prime } - \mathrm { C }$

(Multiple Choice)

4.7/5

(80)

Question 79

Determine whether the sets are equal, equivalent, both, or neither. -{4, 12} and {4, 1, 2}

(Multiple Choice)

5.0/5

(85)

Question 80

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. - $( A - D ) \cap B$

Identify the set as finite or infinite. - $\{ x \mid x$ is a counting number larger than $398 \}$

Find the cardinal number of the set. - $\{ x \mid x$ is a real number between $1.1$ and $1.2 \}$

Let A and B be sets with cardinal numbers, n(A)= a and n(B)= b, respectively. Decide whether the statement is true or false. - $\text { If } \mathrm { B } \subseteq \mathrm { A } , \mathrm { n } ( \mathrm { B } ) = \mathrm { n } ( \mathrm { A } - \mathrm { B } )$

Solve the problem. -List all possible subsets of the set {m, n}.

Determine whether the sets are equal, equivalent, both, or neither. -{72, 40, 27} and {40, 27, 72}

Shade the regions representing the set. - $( A \cap B ) \cup ( A \cup B ) ^ { \prime }$ $Shade the regions representing the set. - ( A \cap B ) \cup ( A \cup B ) ^ { \prime }$

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

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. - $\left( \mathrm { A } ^ { \prime } \cap \mathrm { B } ^ { \prime } \right) \cup \mathrm { C }$

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. - $( A \cup B ) \cup D$

Write the set in set-builder notation. - $\{ 9,12,15,18 , \ldots , 39 \}$

Tell whether the statement is true or false. - $\{ 2,8,13 \} = \{ 0,2,8,13 \}$

Find the cardinal number of the set. - $\{ 8,9,10,11 , \ldots \}$

List the elements in the set . Let =\{,,,,,,,,,\} =\{,,,,\} =\{,,,\} =\{,,,,\} - $B \cap C$

Find the indicated cardinal number. -Find $n ( G )$ , given that $n ( D \times G ) = 20$ and $D = \{ 7,8,9,10 \}$ .

List the elements in the set . Let =\{,,,,,,,,,\} =\{,,,,\} =\{,,,\} =\{,,,,\} - $\mathrm { A } ^ { \prime } - \mathrm { C }$

Determine whether the sets are equal, equivalent, both, or neither. -{4, 12} and {4, 1, 2}

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

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−D)∩B( A - D ) \cap B(A−D)∩B

Identify the set as finite or infinite. - {x∣x\{ x \mid x{x∣x is a counting number larger than 398}398 \}398}

Find the cardinal number of the set. - {x∣x\{ x \mid x{x∣x is a real number between 1.11.11.1 and 1.2}1.2 \}1.2}

Solve the problem. -List all possible subsets of the set {m, n}.

Determine whether the sets are equal, equivalent, both, or neither. -{72, 40, 27} and {40, 27, 72}

Shade the regions representing the set. - (A∩B)∪(A∪B)′( A \cap B ) \cup ( A \cup B ) ^ { \prime }(A∩B)∪(A∪B)′

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

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∪B)∪D( A \cup B ) \cup D(A∪B)∪D

Write the set in set-builder notation. - {9,12,15,18,…,39}\{ 9,12,15,18 , \ldots , 39 \}{9,12,15,18,…,39}

Tell whether the statement is true or false. - {2,8,13}={0,2,8,13}\{ 2,8,13 \} = \{ 0,2,8,13 \}{2,8,13}={0,2,8,13}

Find the cardinal number of the set. - {8,9,10,11,…}\{ 8,9,10,11 , \ldots \}{8,9,10,11,…}

List the elements in the set . Let =\{,,,,,,,,,\} =\{,,,,\} =\{,,,\} =\{,,,,\} - B∩CB \cap CB∩C

Find the indicated cardinal number. -Find n(G)n ( G )n(G) , given that n(D×G)=20n ( D \times G ) = 20n(D×G)=20 and D={7,8,9,10}D = \{ 7,8,9,10 \}D={7,8,9,10} .

List the elements in the set . Let =\{,,,,,,,,,\} =\{,,,,\} =\{,,,\} =\{,,,,\} - A′−C\mathrm { A } ^ { \prime } - \mathrm { C }A′−C

Determine whether the sets are equal, equivalent, both, or neither. -{4, 12} and {4, 1, 2}

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

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. - $( A - D ) \cap B$

Identify the set as finite or infinite. - $\{ x \mid x$ is a counting number larger than $398 \}$

Find the cardinal number of the set. - $\{ x \mid x$ is a real number between $1.1$ and $1.2 \}$

Shade the regions representing the set. - $( A \cap B ) \cup ( A \cup B ) ^ { \prime }$ $Shade the regions representing the set. - ( A \cap B ) \cup ( A \cup B ) ^ { \prime }$

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

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. - $( A \cup B ) \cup D$

Write the set in set-builder notation. - $\{ 9,12,15,18 , \ldots , 39 \}$

Tell whether the statement is true or false. - $\{ 2,8,13 \} = \{ 0,2,8,13 \}$

Find the cardinal number of the set. - $\{ 8,9,10,11 , \ldots \}$

List the elements in the set . Let =\{,,,,,,,,,\} =\{,,,,\} =\{,,,\} =\{,,,,\} - $B \cap C$

Find the indicated cardinal number. -Find $n ( G )$ , given that $n ( D \times G ) = 20$ and $D = \{ 7,8,9,10 \}$ .

List the elements in the set . Let =\{,,,,,,,,,\} =\{,,,,\} =\{,,,\} =\{,,,,\} - $\mathrm { A } ^ { \prime } - \mathrm { C }$