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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Use the Venn diagram in Fig. to list the set of elements in roster form.A' ˆ© B' в ртz ве
List all the subsets of the sets given.A = {0}
Use the Venn diagram in Fig. to list the set of elements in roster form.B в ртz ве
LetU = {1, 2, 3, 4,p, 10}A = {1, 3, 5, 7}B = {3, 7, 9, 10}C = {1, 7, 10}Determine the following.The number of subsets of set B.
List all the subsets of the sets given.D = ϕ
LetU = {1, 2, 3, 4,p, 10}A = {1, 3, 5, 7}B = {3, 7, 9, 10}C = {1, 7, 10}Determine the following.B X A
Set A is the set of all cars manufactured by General Motors. Set Bis the set of sports cars manufactured by General Motors.Determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or if none of
Use Fig. During a session of the U.S. Senate, three bills were voted on. The votes of six senators are shown. Determine in which region of the figure each senator should be placed. The set labeled
LetU = {1, 2, 3, 4,p, 10}A = {1, 3, 5, 7}B = {3, 7, 9, 10}C = {1, 7, 10}Determine the following.A X C
Determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or if none of these applies. Set A is the set of natural numbers between 2 and 7. Set Bis the set of natural numbers greater than 2
LetU = {1, 2, 3, 4,p, 10}A = {1, 3, 5, 7}B = {3, 7, 9, 10}C = {1, 7, 10}Determine the following.A - C'
Determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or if none of these applies. A = {x|x is a sport that uses a ball}B = {basketball, soccer, tennis}
Indicate in Fig. the region in which each of the figures should be placed. Figures that measure less than -in 1 /п ш Blue figures across IV v/ VI VII Circles VIII
LetU = {1, 2, 3, 4,p, 10}A = {1, 3, 5, 7}B = {3, 7, 9, 10}C = {1, 7, 10}Determine the following.A - B
Determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or if none of these applies.A = {x|x is a brand of soft drink}B = {A&W, Coca-Cola, Dr Pepper, Mountain Dew}
Indicate in Fig. the region in which each of the figures should be placed. Figures that measure less than -in 1 /п ш Blue figures across IV v/ VI VII Circles VIII
LetU = {1, 2, 3, 4,p, 10}A = {1, 3, 5, 7}B = {3, 7, 9, 10}C = {1, 7, 10}Determine the following.(A ∪ B)' ∪ C
Determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or if none of these applies. A = {1, 3, 5, 7, 9}B = {3, 9, 5, 7, 6}
Indicate in Fig. the region in which each of the figures should be placed. Figures that measure less than -in 1 /п ш Blue figures across IV v/ VI VII Circles VIII
Set A is the set of mystery books written in 2014. Set B is the set of books written in 2014.Determine whether A = B, A ⊆ B, B ⊆ A, A ⊂ B, B ⊂ A, or if none of these applies.
Indicate in Fig. the region in which each of the figures should be placed. Figures that measure less than -in 1 /п ш Blue figures across IV v/ VI VII Circles VIII
Indicate in Fig. the region in which each of the figures should be placed. Figures that measure less than -in 1 /п ш Blue figures across IV v/ VI VII Circles VIII
LetU = {1, 2, 3, 4,p, 10}A = {1, 3, 5, 7}B = {3, 7, 9, 10}C = {1, 7, 10}Determine the following.A ∩ B
Determine whether A = B, A Š† B, B Š† A, A Š‚ B, B Š‚ A, or if none of these applies. A = {Xbox One, PS4, Wii}B = {Xbox One, Wii}
Indicate in Fig. the region in which each of the figures should be placed. Figures that measure less than -in 1 /п ш Blue figures across IV v/ VI VII Circles VIII
Express each set with a written description.D = {x|3 ≤ x < 9}
Indicate in Fig. the region in which each of the figures should be placed. Figures that measure less than -in 1 /п ш Blue figures across IV v/ VI VII Circles VIII
Answer true or false. If false, give the reason.{1} ∈ { {1}, {2}, {3} }
Express each set with a written description.C = {a, b, c}
Indicate in Fig. the region in which each of the figures should be placed. Figures that measure less than -in 1 /п ш Blue figures across IV v/ VI VII Circles VIII
Answer true or false. If false, give the reason.0 = { }
Express each set with a written description.B = {penny, nicked, dime, quarter, half-dollar}
Answer true or false. If false, give the reason.{ } ⊆ {}
{x|x is a capital letter of the English alphabet from E through M inclusive}Express each set with a written description.
Indicate in Fig. the region in which each of the figures should be placed. Figures that measure less than -in 1 /п ш Blue figures across IV v/ VI VII Circles VIII
Answer true or false. If false, give the reason.{0} = {ϕ}
Set Dis the set of natural numbers between 27 and 51, inclusive.Express each set in set-builder notation.
Indicate in Fig. the region in which each of the figures should be placed. Figures that measure less than -in 1 /п ш Blue figures across IV v/ VI VII Circles VIII
Answer true or false. If false, give the reason.ϕ = { }
Set C is the set of natural numbers less than 7.Express each set in set-builder notation.
Indicate in Fig. the region in which each of the figures should be placed. Figures that measure less than -in 1 /п ш Blue figures across IV v/ VI VII Circles VIII
Answer true or false. If false, give the reason.{ } = {ϕ}
Show that the following set is infinite by setting up a one-to-one correspondence between the set and a proper subset of itself.{7, 8, 9, 10, . . . }
Set B is the set of natural numbers greater than 42.Express each set in set-builder notation.
Use the following table, which shows the top 10 countries for per person consumption of vegetables, fruit, and meat. The universal set is the set of countries in the world.Indicate in which region,
Answer true or false. If false, give the reason.{a, b, c} ⊄ {c, b, a}
A survey of 155 residents of Lake Placid were asked what kind of activities they participated in on a daily basis during the summer months. The following information was determined.107 swam.90
Set A is the set of natural numbers between 50 and 150.Express each set in set-builder notation.
Answer true or false. If false, give the reason.{chair} ⊂ {sofa, table, chair}
Use a Venn diagram to determine whetherA ∩ (B ∪C') = (A ∩ B) ∪ (A ∩ C)for all sets A, B, and C. Show your work
Express each set in roster form.D = {x|x ∈ N and 8 < x ≤ 80 }
Draw a Venn diagram illustrating the relationship among the sets. Using the sets.U = {1, 3, 5, 7, 9, 11, 13, 15}A = {3, 5, 7, 9}B = {7, 9, 11, 15}C = {3, 11, 15}
Answer true or false. If false, give the reason.{ } ⊆ {vanilla, chocolate, strawberry}
Use the following information.U = {1, 3, 5, 7, 9, 11, 13, 15}A = {3, 5, 7, 9}B = {7, 9, 11, 15}C = {3, 11, 15}Determine the followingA X C
Answer true or false. If false, give the reason.tiger∉ {zebra, giraffe, polar bear}
Express each set in roster form.D = {x|x ∈ N and x < 175 }
Set B is the set of states that border Kansas.Express each set in roster form. Nebraska Missouri Colorado Kansas Oklahoma
Use the following information.U = {1, 3, 5, 7, 9, 11, 13, 15}A = {3, 5, 7, 9}B = {7, 9, 11, 15}C = {3, 11, 15}Determine the followingA - B
Use the following information.U = {1, 3, 5, 7, 9, 11, 13, 15}A = {3, 5, 7, 9}B = {7, 9, 11, 15}C = {3, 11, 15}Determine the followingA ∩ (B ∩ C')
Show that the sets are infinite by placing each set in a one-to-one correspondence with a proper subset of itself.{2, 4, 6, 8, 10, . . .}
A customer with Verizon can order telephone service with some, all, or none of the following features: call waiting, call forwarding, caller identification, three-way calling, voice mail, fax line.
LetU = {1, 2, 3, 4, 5, 6, 7, 8}A = {1, 2, 4, 5, 7}B = {2, 3, 5,}Determine the followingA ∪ B
Use Venn diagrams to determine whether the following statements are equal for all sets A and B.A' ∩ B'. A ∪ B'
TV Guide surveyed 450 subscribers, asking which of the following reality shows they watched on a regular basis: The Voice, American Idol, Big Brother.The results of the 450 questionnaires that were
Donald is ordering a salad at a Ruby Tuesday restaurant. He can purchase a salad consisting of just lettuce, or he can add any of the following items: cucumbers, onions, tomatoes, carrots, green
Use the Venn diagram in Fig. to list the set of elements in roster form.(A - B)' (2 4 10 11
Use Venn diagrams to determine whether the following statements are equal for all sets A and B.A' ∪ B', (A ∪ B)'
Visitors to a shopping mall in Atlanta, Georgia, were surveyed to determine their preference for shopping in wholesale warehouse stores. The following information was determined. 58 shopped in
The Fitzgeralds are installing an inground pool in their back yard. They can either install the base model offered by the pool company or add any of the following options: automatic pool cleaner,
Use the Venn diagram in Fig. to list the set of elements in roster form.A' - B (2 4 10 11
Use Venn diagrams to determine whether the following statements are equal for all sets A and B.A' ∪ B', A ∩ B
A pizza chain was willing to pay $1 to each person interviewed about his or her likes and dis-likes of types of pizza crust. Of the people interviewed, 200 liked thin crust, 270 liked thick crust, 70
Soonyee is purchasing a pontoon boat. She can add any of the following options: cell phone holder, bluetooth radio, anchor lights, cupholders, depth gauge, navigation lights, dinette table, battery
If the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ ϕ, U≠ ϕ, and A ⊂ U.U ⊂ ϕ.
Use the Venn diagram in Fig. to list the set of elements in roster form.(A ˆª B)' (2 4 10 11
Use Venn diagrams to determine whether the following statements are equal for all sets A and B.(A ∩ B)', A' ∪ B
If the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ ϕ, U≠ ϕ, and A ⊂ U.ϕ ⊆ ϕ
Use the Venn diagram in Fig. to list the set of elements in roster form.A' ˆ© B (2 4 10 11
Use Venn diagrams to determine whether the following statements are equal for all sets A and B.(A ∩ B) ' A' ∪ B'
Mountain DewUse the following table, which shows the amount of sugar, in grams (g), and caffeine, in milligrams (mg), in an 8-oz serving of selected beverages. Let the beverages listed represent the
If the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ ϕ, U≠ ϕ, and A ⊂ U.U ⊆ ϕ.
Use the Venn diagram in Fig. to list the set of elements in roster form.A ˆª B' (2 4 10 11
Use the Venn diagram in Fig. 2.24 to list the sets in roster form.A' - B 12 10 4 6 \14 6. 11 2 13
GatoradeUse the following table, which shows the amount of sugar, in grams (g), and caffeine, in milligrams (mg), in an 8-oz serving of selected beverages. Let the beverages listed represent the
If the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ ϕ, U≠ ϕ, and A ⊂ U.ϕ ⊂ U
Use the Venn diagram in Fig. to list the set of elements in roster form.A' ˆª B (2 4 10 11
Use the Venn diagram in Fig. 2.24 to list the sets in roster form.(A - B)' 12 10 4 6 \14 6. 11 2 13
Vitamin WaterUse the following table, which shows the amount of sugar, in grams (g), and caffeine, in milligrams (mg), in an 8-oz serving of selected beverages. Let the beverages listed represent the
If the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ ϕ, U≠ ϕ, and A ⊂ U.ϕ ⊂ ϕ
Use the Venn diagram in Fig. to list the set of elements in roster form.A ˆ© B (2 4 10 11
Use the Venn diagram in Fig. 2.24 to list the sets in roster form.A ˆ© (B ˆª C) 12 10 4 6 \14 6. 11 2 13
Orange JuiceUse the following table, which shows the amount of sugar, in grams (g), and caffeine, in milligrams (mg), in an 8-oz serving of selected beverages. Let the beverages listed represent the
If the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ ϕ, U≠ ϕ, and A ⊂ U.A ⊆ U
Use the Venn diagram in Fig. to list the set of elements in roster form.U (2 4 10 11
Use the Venn diagram in Fig. 2.24 to list the sets in roster form.(A ˆª C)' 12 10 4 6 \14 6. 11 2 13
Use the following table, which shows the amount of sugar, in grams (g), and caffeine, in milligrams (mg), in an 8-oz serving of selected beverages. Let the beverages listed represent the universal
If the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ ϕ, U≠ ϕ, and A ⊂ U.ϕ ⊆ A
Use the Venn diagram in Fig. to list the set of elements in roster form.B (2 4 10 11
Use the Venn diagram in Fig. 2.24 to list the sets in roster form.A ˆ© B ˆ© C 12 10 4 6 \14 6. 11 2 13
Use the following table, which shows the amount of sugar, in grams (g), and caffeine, in milligrams (mg), in an 8-oz serving of selected beverages. Let the beverages listed represent the universal

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