77. Suppose that the government imposes a $1000 per day

Solve the inequality 3 - 4x 7 5. Graph the solution set. (pp. A76 A77)

Solve the inequality x2 - 5x 24. Graph the solution set. (pp. 168 171)

A test number for the interval -2 6 x 6 5 could be 4.

The graph of f1x2 = x x - 3 is above the x -axis for x 6 0 or x 7 3, so the solution set of the inequality x x - 3 0 is 5x x 0 or x 36.

In Problems 5 8, use the graph of the function f to solve the inequality.

In Problems 5 8, use the graph of the function f to solve the inequality.

In Problems 5 8, use the graph of the function f to solve the inequality.

In Problems 5 8, use the graph of the function f to solve the inequality.

In Problems 914, solve the inequality by using the graph of the function.

In Problems 914, solve the inequality by using the graph of the function.

In Problems 914, solve the inequality by using the graph of the function.

In Problems 914, solve the inequality by using the graph of the function.

In Problems 914, solve the inequality by using the graph of the function.

In Problems 914, solve the inequality by using the graph of the function.

In Problems 1518, solve the inequality by using the graph of the function.

In Problems 1518, solve the inequality by using the graph of the function.

In Problems 1518, solve the inequality by using the graph of the function.

In Problems 1518, solve the inequality by using the graph of the function.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 1948, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 4960, solve each inequality algebraically.

In Problems 61 and 62 (a) find the zeros of each function,(b) factor each function over the real numbers, (c) graph each function by hand, and (d) solve f1x2 6 0

In Problems 61 and 62 (a) find the zeros of each function,(b) factor each function over the real numbers, (c) graph each function by hand, and (d) solve f1x2 6 1

In Problems 6366, (a) graph each function by hand, and (b) solve f1x2 0

In Problems 6366, (a) graph each function by hand, and (b) solve f1x2 1

In Problems 6366, (a) graph each function by hand, and (b) solve f1x2 2

In Problems 6366, (a) graph each function by hand, and (b) solve f1x2 3

For what positive numbers will the cube of a number exceed four times its square?

For what positive numbers will the cube of a number be less than the number?

What is the domain of the function f1x2 = 2x4 - 16?

What is the domain of the function f1x2 = 2x3 - 3x2 ?

What is the domain of the function f1x2 = A x - 2 x + 4 ?

What is the domain of the function f1x2 = A x - 1 x + 4 ?

In Problems 7376, determine where the graph of f is below the graph of g by solving the inequalityf1x2 g1x2. Graph f and g together.

In Problems 7376, determine where the graph of f is below the graph of g by solving the inequalityf1x2 g1x2. Graph f and g together.

In Problems 7376, determine where the graph of f is below the graph of g by solving the inequalityf1x2 g1x2. Graph f and g together.

In Problems 7376, determine where the graph of f is below the graph of g by solving the inequalityf1x2 g1x2. Graph f and g together.

Suppose that the daily cost C of manufacturing bicycles is given by C1x2 = 80x + 5000. Then the average daily cost C is given by C1x2 = 80x + 5000 x . How many bicycles must be produced each day for the average daily cost to be no more than $100?

Problem 77. Suppose that the government imposes a $1000 per day tax on the bicycle manufacturer so that the daily cost C of manufacturing x bicycles is now given by C1x2 = 80x + 6000. Now the average daily cost C is given by C1x2 = 80x + 6000 x . How many bicycles must be produced each day for the daily average cost to be no more than $100?

Originating on Pentecost Island in the Pacific, the practice of a person jumping from a high place harnessed to a flexible attachment was introduced to western culture in 1979 by the Oxford University Dangerous Sport Club. One important parameter to know before attempting a bungee jump is the amount the cord will stretch at the 28. x3 + 2x2 - 3x 7 0 29. x4 7 x2 30. x4 6 9x2 31. x4 7 1 32. x3 7 1 33. x + 1 x - 1 7 0 34. x - 3 x + 1 7 0 35. 1x - 12 1x + 12 x 0 36. 1x - 32 1x + 22 x - 1 0 37. 1x - 222 x2 - 1 0 38. 1x + 522 x2 - 4 0 39. x + 4 x - 2 1 40. x + 2 x - 4 1 41. 3x - 5 x + 2 2 42. x - 4 2x + 4 1 43. 1 x - 2 6 2 3x - 9 44. 5 x - 3 7 3 x + 1 45. x2 13 + x2 1x + 42 1x + 52 1x - 12 0 46. x1x2 + 12 1x - 22 1x - 12 1x + 12 0 47. 13 - x23 12x + 12 x3 - 1 6 0 48. 12 - x23 13x - 22 x3 + 1 6 0 Mixed Practice In Problems 4960, solve each inequality algebraically. 49. 1x + 12 1x - 32 1x - 52 7 0 50. 12x - 12 1x + 22 1x + 52 6 0 51. 7x - 4 -2x2 52. x2 + 3x 10 53. x + 1 x - 3 2 54. x - 1 x + 2 -2 55. 31x2 - 22 6 21x - 122 + x2 56. 1x - 32 1x + 22 6 x2 + 3x + 5 57. 6x - 5 6 6 x 58. x + 12 x 6 7 59. x3 - 9x 0 60. x3 - x 0 In Problems 61 and 62 (a) find the zeros of each function,(b) factor each function over the real numbers, (c) graph each function by hand, and (d) solve f1x2 6 0. 61. f1x2 = 2x4 + 11x3 - 11x2 - 104x - 48 62. f1x2 = 4x5 - 19x4 + 32x3 - 31x2 + 28x - 12 In Problems 6366, (a) graph each function by hand, and (b) solve f1x2 0. 63. f1x2 = x2 + 5x - 6 x2 - 4x + 4 64. f1x2 = 2x2 + 9x + 9 x2 - 4 65. f1x2 = x3 + 2x2 - 11x - 12 x2 - x - 6 66. f1x2 = x3 - 6x2 + 9x - 4 x2 + x - 20 Chapter Review 243 bottom of the fall. The stiffness of the cord is related to the amount of stretch by the equation K = 2W1S + L2 S2 where W = weight of the jumper (pounds) K = cords stiffness (pounds per foot) L = free length of the cord (feet) S = stretch (feet) (a) A 150-pound person plans to jump off a ledge attached to a cord of length 42 feet. If the stiffness of the cord is no less than 16 pounds per foot, how much will the cord stretch? (b) If safety requirements will not permit the jumper to get any closer than 3 feet to the ground, what is the minimum height required for the ledge in part (a)?

According to Newtons Law of universal gravitation, the attractive force F between two bodies is given by F = Gm1m2 r2 where m1, m2 = the masses of the two bodies r = distance between the two bodies G = gravitational constant = 6.6742 * 10-11 newtons meter2 kilogram-2 Suppose an object is traveling directly from Earth to the moon. The mass of Earth is 5.9742 * 1024 kilograms, the mass of the moon is 7.349 * 1022 kilograms, and the mean distance from Earth to the moon is 384,400 kilometers. For an object between Earth and the moon, how far from Earth is the force on the object due to the moon greater than the force on the object due to Earth?

Mrs. West has decided to take her fifth grade class to a play. The manager of the theater agreed to discount the regular $40 price of the ticket by $0.20 for each ticket sold. The cost of the bus, $500, will be split equally among each of the students. How many students must attend to keep the cost per student at or below $40?

Make up an inequality that has no solution. Make up one that has exactly one solution.

The inequality x4 + 1 6 -5 has no solution. Explain why.

A student attempted to solve the inequality x + 4 x - 3 0 by multiplying both sides of the inequality by x - 3 to get

Write a rational inequality whose solution set is {x -3 6 x 5}.