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mathematics
college algebra graphs and models
College Algebra 7th Edition Robert F Blitzer - Solutions
Solve the equation and check your answer. 2(1 3x) + 1 = 3x
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 5 - (2 - 3x) s -5x
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 2x - 3> {/(x + 1)
Find the slope-intercept form for the line satisfying the conditions. x-intercept (-6, 0), y-intercept (0, -8)
Find the slope-intercept form for the line satisfying the conditions. x-intercept (90, 0), y-intercept (0,45)
Solve the equation and check your answer. 5(x - 2) = -2(1-x)
Find the slope-intercept form for the line satisfying the conditions. Slope -3, passing through (0,5)
Solve the equation and check your answer. -5(32x) - (1-x) = 4(x-3)
Find the slope-intercept form for the line satisfying the conditions. Slope, passing through (-2)
Solve the equation and check your answer. =4(5x - 1) = 8 - (x + 2)
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 5 < 4-1 ≤ 11
Solve the equation and check your answer. -(5-x)(x - 2) = 7x-2
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. -1 ≤ 21 ≤ 4
Find the slope-intercept form for the line satisfying the conditions. Passing through (0, -6) and (4,0)
Find the slope-intercept form for the line satisfying the conditions. Passing through (-4,0) and (0, -3)
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 3 ≤4-x≤ 20
Solve the equation and check your answer. 6(32x) = 1 − (2x − 1) -
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 0 V 7x - 5 3
Exercises 157–159 will help you prepare for the material covered in the first section of the next chapter.Use the following graph to solve this exercise.a. What is the y-coordinate when the x-coordinate is 2?b. What are the x-coordinates when the y-coordinate is 4?c. Describe the x-coordinates of
Use a graphing utility’s TABLE feature to verify your work in Exercises 142–143.
What’s wrong with this argument? Suppose x and y represent two real numbers, where x > y.The final inequality, y > x, is impossible because we were initially given x > y. 2 > 1 2(yx) > 1(y-x) 2y - 2x > y - x y - 2x > -x y > x This is a true statement. Multiply both sides by y - x. Use
In Exercises 150–153, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. (-∞, -1]n[-4, ∞) = [-4, -1]
In Exercises 142–143, solve each inequality using a graphing utility. Graph each side separately. Then determine the values of x for which the graph for the left side lies above the graph for the right side. -2(x + 4) > 6x + 16
In Exercises 142–143, solve each inequality using a graphing utility. Graph each side separately. Then determine the values of x for which the graph for the left side lies above the graph for the right side. -3(x6) 2x - 2
A bank offers two checking account plans. Plan A has a base service charge of $4.00 per month plus 10¢ per check. Plan B charges a base service charge of $2.00 per month plus 15¢ per check.a. Write models for the total monthly costs for each plan if x checks are written.b. Use a graphing utility
In Exercises 150–153, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.All irrational numbers satisfy |x - 4| > 0.
In Exercises 146–149, determine whether each statement makes sense or does not make sense, and explain your reasoning.In an inequality such as 5x + 4 < 8x - 5, I can avoid division by a negative number depending on which side I collect the variable terms and on which side I collect the
In Exercises 146–149, determine whether each statement makes sense or does not make sense, and explain your reasoning.I can check inequalities by substituting 0 for the variable: When 0 belongs to the solution set, I should obtain a true statement, and when 0 does not belong to the solution set,
In Exercises 146–149, determine whether each statement makes sense or does not make sense, and explain your reasoning.I prefer interval notation over set-builder notation because it takes less space to write solution sets.
Describe how to solve an absolute value inequality involving the symbol >. Give an example.
Describe how to solve an absolute value inequality involving the symbol <. Give an example.
What is a compound inequality and how is it solved?
Describe ways in which solving a linear inequality is different than solving a linear equation.
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.The toll to a bridge is $3.00. A three-month pass costs $7.50 and reduces the toll to $0.50. A six-month pass costs $30 and permits crossing the bridge for no
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.On two examinations, you have grades of 86 and 88. There is an optional final examination, which counts as one grade. You decide to take the final in order to
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.Parts for an automobile repair cost $175. The mechanic charges $34 per hour. If you receive an estimate for at least $226 and at most $294 for fixing the car,
Describe ways in which solving a linear inequality is similar to solving a linear equation.
The formula for converting Fahrenheit temperature, F, to Celsius temperature, C, isIf Celsius temperature ranges from 15 to 35, inclusive, what is the range for the Fahrenheit temperature? Use interval notation to express this range. C С. 5 -(F - 32).
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.To earn an A in a course, you must have a final average of at least 90%. On the first four examinations, you have grades of 86%, 88%, 92%, and 84%. If the final
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast, intimacy and commitment build gradually. Use the graphs to solve Exercises 109–116.What is the
When graphing the solutions of an inequality, what does a parenthesis signify? What does a square bracket signify?
If a coin is tossed 100 times, we would expect approximately 50 of the outcomes to be heads. It can be demonstrated that a coin is unfair if h, the number of outcomes that result in heads, satisfiesDescribe the number of outcomes that determine an unfair coin that is tossed 100 times. h 5 50 ≥
The formula for converting Celsius temperature, C, to Fahrenheit temperature, F, isIf Fahrenheit temperature ranges from 41° to 50°, inclusive, what is the range for Celsius temperature? Use interval notation to express this range. F 9 5 -C + 32.
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.An elevator at a construction site has a maximum capacity of 3000 pounds. If the elevator operator weighs 245 pounds and each cement bag weighs 95 pounds, how
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.An elevator at a construction site has a maximum capacity of 2800 pounds. If the elevator operator weighs 265 pounds and each cement bag weighs 65 pounds, how
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.A company manufactures and sells personalized stationery. The weekly fixed cost is $3000 and it costs $3.00 to produce each package of stationery. The selling
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.A company manufactures and sells blank audiocassette tapes. The weekly fixed cost is $10,000 and it costs $0.40 to produce each tape. The selling price is $2.00
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast, intimacy and commitment build gradually. Use the graphs to solve Exercises 109–116.What is the
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast, intimacy and commitment build gradually. Use the graphs to solve Exercises 109–116.After
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast, intimacy and commitment build gradually. Use the graphs to solve Exercises 109–116.What is the
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.A local bank charges $8 per month plus 5¢ per check. The credit union charges $2 per month plus 8¢ per check. How many checks should be written each month to
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.A city commission has proposed two tax bills. The first bill requires that a homeowner pay $1800 plus 3% of the assessed home value in taxes. The second bill
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.You are choosing between two texting plans. Plan A has a monthly fee of $15 with a charge of $0.08 per text. Plan B has a monthly fee of $3 with a charge of
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.A truck can be rented from Basic Rental for $50 per day plus $0.20 per mile. Continental charges $20 per day plus $0.50 per mile to rent the same truck. How
In Exercises 105–106, use the table to solve each inequality. -32x - 5 ≤3
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast, intimacy and commitment build gradually. Use the graphs to solve Exercises 109–116.Use interval
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast, intimacy and commitment build gradually. Use the graphs to solve Exercises 109–116.What is the
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast, intimacy and commitment build gradually. Use the graphs to solve Exercises 109–116.What is the
In Exercises 105–106, use the table to solve each inequality. −2 < 5r+ 3 < 13
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast, intimacy and commitment build gradually. Use the graphs to solve Exercises 109–116.Use interval
In Exercises 103–104, use the graph of y =|4 - x| to solve each inequality. y = 5 6+ 4 3+ 2+ 1+ y = |4 -x| + + 1 2 3 4 5 6 + X + + + 7 8 9 10
In Exercises 103–104, use the graph of y =|4 - x| to solve each inequality. y = 5 6+ 4 3+ 2+ 1+ y = |4 -x| + + 1 2 3 4 5 6 + X + + + 7 8 9 10
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 8 5x + 3) and y is at least 6.
When 4 times a number is subtracted from 5, the absolute value of the difference is at most 13. Use interval notation to express the set of all numbers that satisfy this condition.
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 7 - X + 2 and y is at most 4. 2
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 3x 4 + 2 and y < 8.
When 3 times a number is subtracted from 4, the absolute value of the difference is at least 5. Use interval notation to express the set of all numbers that satisfy this condition.
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. У1 || X 2 + 3,9/2 || 3 + 5 2' and y1 = y2.
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 2x 11 + 3(x + 2) and y is at most 0.
In Exercises 59–94, solve each absolute value inequality. X 2 2 - 1≤1
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = |2x 5 + 1 and y > 9.
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 1 (x + 3) + 2x and y is at least 4.
In Exercises 59–94, solve each absolute value inequality. 4 + 3 3 ≥ 9
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. 4, y2 = 5x + 1, and y₁ > Y2. Y1 = (6x - 9) + 4, y2 - 9) +
In Exercises 59–94, solve each absolute value inequality. 1 < |2 - 3x|
In Exercises 59–94, solve each absolute value inequality. 1
In Exercises 59–94, solve each absolute value inequality. 2 > [11 - x|
In Exercises 59–94, solve each absolute value inequality. 12 < -2x + 617 + 3 7
In Exercises 59–94, solve each absolute value inequality. 5> 4-x|
In Exercises 59–94, solve each absolute value inequality. 4 < 12-x|
In Exercises 59–94, solve each absolute value inequality. 32x-1|
In Exercises 59–94, solve each absolute value inequality. -25 x < -6
In Exercises 59–94, solve each absolute value inequality. 9 ≤ 4x + 7|
In Exercises 59–94, solve each absolute value inequality. -2x - 4 -4 ≥
In Exercises 59–94, solve each absolute value inequality. -41-x-16
In Exercises 59–94, solve each absolute value inequality. 3 x 1 + 2 ≥ 8
In Exercises 59–94, solve each absolute value inequality. -3x + 7 -27
In Exercises 59–94, solve each absolute value inequality. 3- 3 4 -x > 9
In Exercises 59–94, solve each absolute value inequality. 5|2x + 13 ≥ 9
In Exercises 59–94, solve each absolute value inequality. 3 2 3 x > 5
In Exercises 59–94, solve each absolute value inequality. |3x - 3 9 ≥ 1 AI
In Exercises 59–94, solve each absolute value inequality. |3x - 8| > 7
In Exercises 59–94, solve each absolute value inequality. 2x + 4 2 ≥ 2
In Exercises 59–94, solve each absolute value inequality. |x + 3 ≥ 4
In Exercises 59–94, solve each absolute value inequality. |5x2 > 13 –
In Exercises 59–94, solve each absolute value inequality. |x-1| ≥ 2
In Exercises 59–94, solve each absolute value inequality. x > 5
In Exercises 59–94, solve each absolute value inequality. 2(x - 1) + 4 ≤8
In Exercises 59–94, solve each absolute value inequality. |x > 3
In Exercises 59–94, solve each absolute value inequality. 2x + 6 3
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