Question: Use the Venn diagram in Fig. 2.
Use the Venn diagram in Fig. 2.13 to list the set of elements in roster form.
A( ( B
> Mail-Order Purchase Fatima purchased 4 tires by mail order. She paid $52.80 per tire plus $5.60 per tire for shipping and handling. There is no sales tax on this purchase because the tires were purchased out of state. She also had to pay $8.56, including
> Consider the formula n(A ( B) = n(A) + n(B) – n(A ( B) (a) Show that this relation holds for A = {a, b, c, d} and B = {b, d, e, f, g, h}. (b) Make up your own sets A and B, each consisting of at least six elements. Using these sets, show that the relati
> Student Council and Intramurals At Madison High School, 46 students participated in student council or intramurals, 30 participated in student council, and 4 participated in student council and intramurals. How many students participated only in intramur
> Pet Ownership The results of a survey of customers at PetSmart showed that 27 owned dogs, 38 owned cats, and 16 owned both dogs and cats. How many people owned either a dog or a cat?
> When will n1A y B2 = 0? Explain and give an example.
> When will a set and its complement be disjoint? Explain and give an example.
> Let U = {x | x ( N and x < 10} A = {x | x ( N and x is odd and x < 10} B = {x | x ( N and x is even and x < 10} C = {x | x ( N and x < 6} Determine the following. (A( ( C) ( (A ( B)
> Let U = {x | x ( N and x < 10} A = {x | x ( N and x is odd and x < 10} B = {x | x ( N and x is even and x < 10} C = {x | x ( N and x < 6} Determine the following. (A( ( B() ( C
> Let U = {x | x ( N and x < 10} A = {x | x ( N and x is odd and x < 10} B = {x | x ( N and x is even and x < 10} C = {x | x ( N and x < 6} Determine the following. (A ( B)( ( C
> Let U = {x | x ( N and x < 10} A = {x | x ( N and x is odd and x < 10} B = {x | x ( N and x is even and x < 10} C = {x | x ( N and x < 6} Determine the following. (A ( C) ( B
> Let U = {x | x ( N and x < 10} A = {x | x ( N and x is odd and x < 10} B = {x | x ( N and x is even and x < 10} C = {x | x ( N and x < 6} Determine the following. (B ( C)(
> Convert the given numeral to a numeral inbase 10. A9112
> Let U = {x | x ( N and x < 10} A = {x | x ( N and x is odd and x < 10} B = {x | x ( N and x is even and x < 10} C = {x | x ( N and x < 6} Determine the following. A ( B(
> Let U = {x | x ( N and x < 10} A = {x | x ( N and x is odd and x < 10} B = {x | x ( N and x is even and x < 10} C = {x | x ( N and x < 6} Determine the following. A ( C(
> Let U = {x | x ( N and x < 10} A = {x | x ( N and x is odd and x < 10} B = {x | x ( N and x is even and x < 10} C = {x | x ( N and x < 6} Determine the following. (B ( C)(
> Let U = {x | x ( N and x < 10} A = {x | x ( N and x is odd and x < 10} B = {x | x ( N and x is even and x < 10} C = {x | x ( N and x < 6} Determine the following. A ( B
> Let U = {x | x ( N and x < 10} A = {x | x ( N and x is odd and x < 10} B = {x | x ( N and x is even and x < 10} C = {x | x ( N and x < 6} Determine the following. A ( B
> Let A = {1, 2, 3} B = {a, b} Does n(A ( B) = n(B ( A)?
> Let A = {1, 2, 3} B = {a, b} Determine n(B ( A).
> Let A = {1, 2, 3} B = {a, b} Determine n(A ( B)
> Let A = {1, 2, 3} B = {a, b} Does A ( B = B ( A?
> Let A = {1, 2, 3} B = {a, b} Determine B ( A.
> Saving for a Stereo Fernando works 40 hours per week and makes $8.50 per hour. (a) How much money can he expect to earn in 1 year (52 weeks)? (b) If he saves all the money he earns, how long will he have to work to save for a stereo receiver that costs
> Let A = {1, 2, 3} B = {a, b} Determine A ( B
> Let U = {a, b, c, d, e, f, g, h, i, j, k} A = {a, c, d, f, g, i} B = {b, c, d, f, g} C = {a, b, f, i, j} Determine the following. (C - A)( - B
> Let U = {a, b, c, d, e, f, g, h, i, j, k} A = {a, c, d, f, g, i} B = {b, c, d, f, g} C = {a, b, f, i, j} Determine the following. (A - B)( - C
> Let U = {a, b, c, d, e, f, g, h, i, j, k} A = {a, c, d, f, g, i} B = {b, c, d, f, g} C = {a, b, f, i, j} Determine the following. (C ( B) ( (A( ( B)
> Let U = {a, b, c, d, e, f, g, h, i, j, k} A = {a, c, d, f, g, i} B = {b, c, d, f, g} C = {a, b, f, i, j} Determine the following. (A( ( C) ( (A ( B)
> Let U = {a, b, c, d, e, f, g, h, i, j, k} A = {a, c, d, f, g, i} B = {b, c, d, f, g} C = {a, b, f, i, j} Determine the following. A ( (C ( B)(
> Let U = {a, b, c, d, e, f, g, h, i, j, k} A = {a, c, d, f, g, i} B = {b, c, d, f, g} C = {a, b, f, i, j} Determine the following. (A ( B) ( C
> Let U = {a, b, c, d, e, f, g, h, i, j, k} A = {a, c, d, f, g, i} B = {b, c, d, f, g} C = {a, b, f, i, j} Determine the following. (A ( C)(
> Let U = {a, b, c, d, e, f, g, h, i, j, k} A = {a, c, d, f, g, i} B = {b, c, d, f, g} C = {a, b, f, i, j} Determine the following. A( ( B(
> Let U = {a, b, c, d, e, f, g, h, i, j, k} A = {a, c, d, f, g, i} B = {b, c, d, f, g} C = {a, b, f, i, j} Determine the following. A ( C
> Convert the given numeral to a numeral inbase 10. 50328
> Let U = {a, b, c, d, e, f, g, h, i, j, k} A = {a, c, d, f, g, i} B = {b, c, d, f, g} C = {a, b, f, i, j} Determine the following. B ( C
> Let U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 4, 5, 7} B = [2, 3, 5, 6} Determine the following. A( - B(
> Let U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 4, 5, 7} B = [2, 3, 5, 6} Determine the following. (A - B)(
> Let U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 4, 5, 7} B = [2, 3, 5, 6} Determine the following. A( ( (A ( B)
> Let U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 4, 5, 7} B = [2, 3, 5, 6} Determine the following. (B ( A)( ( (B( ( A()
> Let U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 4, 5, 7} B = [2, 3, 5, 6} Determine the following. (A ( B)((A ( B)(
> Let U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 4, 5, 7} B = [2, 3, 5, 6} Determine the following. (A ( B)( ( B
> Let U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 4, 5, 7} B = [2, 3, 5, 6} Determine the following. A( ( B(
> Let U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 4, 5, 7} B = [2, 3, 5, 6} Determine the following. (A ( B)(
> Let U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 4, 5, 7} B = [2, 3, 5, 6} Determine the following. A ( B
> Gas Mileage Wendy fills her gas tank completely and makes a note that the odometer reads 38,451.4 miles. The next time she put gas in her car, filling the tank took 12.6 gal and the odometer read 38,687.0 miles. Determine the number of miles per gallon t
> Let U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 2, 4, 5, 7} B = [2, 3, 5, 6} Determine the following. A ( B
> Use the Venn diagram in Fig. 2.13 to list the set of elements in roster form. (A - B)(
> Use the Venn diagram in Fig. 2.13 to list the set of elements in roster form. A( - B
> Use the Venn diagram in Fig. 2.13 to list the set of elements in roster form. (A ( B)(
> Use the Venn diagram in Fig. 2.13 to list the set of elements in roster form. A ( B(
> Use the Venn diagram in Fig. 2.13 to list the set of elements in roster form. A( ( B
> Use the Venn diagram in Fig. 2.13 to list the set of elements in roster form. A ( B
> Use the Venn diagram in Fig. 2.13 to list the set of elements in roster form. U
> Use the Venn diagram in Fig. 2.13 to list the set of elements in roster form. B
> Convert the given numeral to a numeral inbase 10. 76548
> Use the Venn diagram in Fig. 2.13 to list the set of elements in roster form. A
> Use the Venn diagram in Fig. 2.12 to list the set of elements in roster form. A - B(
> Use the Venn diagram in Fig. 2.12 to list the set of elements in roster form. A - B
> Use the Venn diagram in Fig. 2.12 to list the set of elements in roster form. (A ( B)(
> Use the Venn diagram in Fig. 2.12 to list the set of elements in roster form. A( ( B(
> Use the Venn diagram in Fig. 2.12 to list the set of elements in roster form. (A ( B)(
> Use the Venn diagram in Fig. 2.12 to list the set of elements in roster form. A ( B
> Use the Venn diagram in Fig. 2.12 to list the set of elements in roster form. U
> Use the Venn diagram in Fig. 2.12 to list the set of elements in roster form. A ( B
> Use the Venn diagram in Fig. 2.12 to list the set of elements in roster form. B
> Energy Value and Energy Consumption The table below gives the approximate energy values of some foods, in kilojoules (kJ), and the energy requirements of some activities. (a) How soon would you use up the energy from a fried egg by walking? (b) How soo
> Use the Venn diagram in Fig. 2.12 to list the set of elements in roster form. A
> In Exercises 29–34, U is the set of furniture stores. A is the set of furniture stores that sell mattresses. B is the set of furniture stores that sell outdoor furniture. C is the set of furniture stores that sell leather furniture. Describe the followin
> In Exercises 29–34, U is the set of furniture stores. A is the set of furniture stores that sell mattresses. B is the set of furniture stores that sell outdoor furniture. C is the set of furniture stores that sell leather furniture. Describe the followin
> In Exercises 29–34, U is the set of furniture stores. A is the set of furniture stores that sell mattresses. B is the set of furniture stores that sell outdoor furniture. C is the set of furniture stores that sell leather furniture. Describe the followin
> In Exercises 29–34, U is the set of furniture stores. A is the set of furniture stores that sell mattresses. B is the set of furniture stores that sell outdoor furniture. C is the set of furniture stores that sell leather furniture. Describe the followin
> In Exercises 29–34, U is the set of furniture stores. A is the set of furniture stores that sell mattresses. B is the set of furniture stores that sell outdoor furniture. C is the set of furniture stores that sell leather furniture. Describe the followin
> In Exercises 29–34, U is the set of furniture stores. A is the set of furniture stores that sell mattresses. B is the set of furniture stores that sell outdoor furniture. C is the set of furniture stores that sell leather furniture. Describe the followin
> In Exercises 23–28, U is the set of cities in the United States. A is the set of cities that have a professional sports team. B is the set of cities that have a symphony. Describe each of the following sets in words. A ( B(
> In Exercises 23–28, U is the set of cities in the United States. A is the set of cities that have a professional sports team. B is the set of cities that have a symphony. Describe each of the following sets in words. A ( B(
> In Exercises 23–28, U is the set of cities in the United States. A is the set of cities that have a professional sports team. B is the set of cities that have a symphony. Describe each of the following sets in words. A ( B
> Convert the given numeral to a numeral inbase 10. 11101112
> In Exercises 23–28, U is the set of cities in the United States. A is the set of cities that have a professional sports team. B is the set of cities that have a symphony. Describe each of the following sets in words A ( B
> In Exercises 23–28, U is the set of cities in the United States. A is the set of cities that have a professional sports team. B is the set of cities that have a symphony. Describe each of the following sets in words B(
> In Exercises 23–28, U is the set of cities in the United States. A is the set of cities that have a professional sports team. B is the set of cities that have a symphony. Describe each of the following sets in words. A(
> Let U represent the set of animals in U.S. zoos. Let Arepresent the set of animals in the San Diego zoo. Describe A(.
> Let U represent the set of retail stores in the United States. Let A represent the set of retail stores that sell children’s clothing. Describe A(.
> Racing Standings The table on the top of the next page shows the 2013 NASCAR Sprint Cup Final Standings. The table shows the 12 drivers having the highest point total and the number of Sprint Cup races they won. Let the drivers in the table represent the
> Facebook The table below shows the annual sales revenue and net income, in millions of dollars, for Facebook for the years 2009–2013. Let the years in the table represent the universal set. Let A = the set of years in which the sales re
> National Parks For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions. U = {Acadia, Badlands, Death Valley, Glacier, Mammoth Cave, Mount Rainier, North Cascades, Shenandoah, Yellowstone, Zion} A = {Acadia, Badla
> Cellular Telephones For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions. U = {Desire, Fire, Galaxy S5, iPhone, Lumia, Nexus, One, Xperia} A = {Desire, Galaxy S5, iPhone, One, Xperia} B = {Fire, Nexus, One, Xp
> For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions. U = {a, b, c, d, e, f, g, h, i, j, k} A = {a, b, e, f, h, j} B = {b, c, d, f, j}
> A survey of 500 farmers in a midwestern state showed the following. 125 grew only wheat. 110 grew only corn. 90 grew only oats. 200 grew wheat. 60 grew wheat and corn. 50 grew wheat and oats. 180 grew corn. Determine the number of farmers who (a) grew a
> For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions. U = {1, 2, 3, 4, 5, 6, 7, 8} A = {1, 6, 8} B = {2, 4, 6, 7, 8}
> For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions. U = {a, b, c, d, e, f} A = {a, c} B = {b, e, f}
> In Exercises 9–13, use Fig. 2.2 on page 55 as a guide to draw a Venn diagram that illustrates the situation described. Set A and set B are overlapping sets.
> In Exercises 9–13, use Fig. 2.2 on page 55 as a guide to draw a Venn diagram that illustrates the situation described. A = B
> If A ( B and B ( C, must A ( C?
> If A (B and B ( C, must A ( C?
> If A ( B and B ( C, must A ( C?
> How many elements must a set have if the number of proper subsets of the set is ½ of the total number of subsets of the set?
> Hospital Expansion A hospital has four members on the board of directors: Arnold, Benitez, Cathy, and Dominique. a) When the members vote on whether to add a wing to the hospital, how many different ways can they vote (abstentions are not allowed)? For e
> For the set D = {a, b, c} (a) is a an element of set D? (b) is c a subset of set D? (c) is {a, b} a subset of set D?
> Playing a Lottery In one state lottery game, you must select four digits (digits may be repeated). If your number matches exactly the four digits selected by the lottery commission, you win. (a) How many different numbers may be chosen? (b) If you purc
> Blueprints Tony, an architect, is designing a new enclosure for the giraffes at a zoo. The scale of his plan is 1 in. = 2.5 yd. He draws a 22.4-in. line on the blueprint to represent the northern boundary of the enclosure. What actual distance does this
