Explanation The given linear inequalities are as follows, − 2 < x < 3 (1) − 1 ≤ y ≤ 5 (2) 2 x + y < 6 (3) Consider the equation (1). The given inequality is a compound inequality that is, − 2 < x and x < 3 . The given inequality in the equation is >. Therefore, the dashed line is used to join the coordinates of this equation. Then the equation (1) becomes, x = − 2 . The equation − 2 < x represents the set of all points whose x coordinates are greater than − 2 . That is, all points lies on the right side of the line x = − 2 . Determine whether the inequality is true or false using test point. Let the test point be ( 0 , 0 ) . Substitute the test point ( 0 , 0 ) in − 2 < x , − 2 < 0 The given inequality is true for the test point, thus shade the half-plane that contain the test point ( 0 , 0 ) . The given inequality in the equation is <. Therefore, the dashed line is used to join the coordinates of this equation. Then the equation (1) becomes, x = 3 . The equation x < 3 represents the set of all points whose x coordinates are less than 3. That is, all points lies on the left side of the dashed vertical line x = 3 . Determine whether the inequality is true or false using test point. Let the test point be ( 0 , 0 ) . Substitute the test point ( 0 , 0 ) in x < 3 , 0 < 3 The given inequality is true for the test point, thus shade the half-plane that contain the test point ( 0 , 0 ) . Consider the equation (2), The given inequality is a compound inequality that is, − 1 ≤ y and y ≤ 5 . The given inequality in the equation is ≥ . Therefore, the solid line is used to join the coordinates of this equation. Then the equation (2) becomes, y = − 1 . The equation − 1 ≤ y represents the set of all points whose y coordinates are greater than − 1 . That is, all points lies above of the solid line y = − 1 . Determine whether the inequality is true or false using test point. Let the test point be ( 0 , 0 ) . Substitute the test point ( 0 , 0 ) in − 1 ≤ y , − 1 ≤ 0 The given inequality is true for the test point, thus shade the half-plane that contain the test point ( 0 , 0 ) . The given inequality in the equation is ≤ . Therefore, the solid line is used to join the coordinates of this equation. Then the equation (1) becomes, y = 5 . The equation y ≤ 5 represents the set of all points whose y coordinates are less than 5. That is, all points lies below the line y = 5 . Determine whether the inequality is true or false using test point. Let the test point be ( 0 , 0 )

Finite Mathematics and Calculus with Applications (10th Edition)

10th Edition

ISBN: 9780321979407

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 3.1, Problem 27E

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To sketch: The graph of the feasible region for the system of inequalities −2<x<3 , −1≤y≤5 ; 2x+y<6 and check whether the region is bounded or unbounded.

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Chapter 3.1, Problem 26E

Chapter 3.1, Problem 28E

Chapter 3 Solutions

Finite Mathematics and Calculus with Applications (10th Edition)

Ch. 3.1 - Graph 3x + 2y 18.Ch. 3.1 - Graph the feasible region for the system...Ch. 3.1 - Prob. 1WE Ch. 3.1 - y=12x+1 Ch. 3.1 - Prob. 3WE Ch. 3.1 - Prob. 4WE Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E

Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - The regions A through G in the figure can be...Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - For Exercises 4247, perform the following steps....Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - For Exercises 4247, perform the following steps....Ch. 3.1 - Prob. 47E Ch. 3.2 - Prob. 1YT Ch. 3.2 - Prob. 1WE Ch. 3.2 - Prob. 2WE Ch. 3.2 - Prob. 3WE Ch. 3.2 - Prob. 4WE Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Prob. 3E Ch. 3.2 - Prob. 4E Ch. 3.2 - Prob. 5E Ch. 3.2 - Prob. 6E Ch. 3.2 - Prob. 7E Ch. 3.2 - Prob. 8E Ch. 3.2 - Prob. 9E Ch. 3.2 - Prob. 10E Ch. 3.2 - Prob. 11E Ch. 3.2 - Prob. 12E Ch. 3.2 - Prob. 13E Ch. 3.2 - Prob. 14E Ch. 3.2 - Prob. 15E Ch. 3.2 - Prob. 16E Ch. 3.2 - Prob. 17E Ch. 3.3 - Prob. 1YT Ch. 3.3 - Prob. 2YT Ch. 3.3 - Prob. 3YT Ch. 3.3 - Prob. 1WE Ch. 3.3 - Prob. 2WE Ch. 3.3 - Prob. 1E Ch. 3.3 - Prob. 2E Ch. 3.3 - Prob. 3E Ch. 3.3 - Prob. 4E Ch. 3.3 - Prob. 5E Ch. 3.3 - Prob. 6E Ch. 3.3 - Prob. 7E Ch. 3.3 - Prob. 8E Ch. 3.3 - Finance A pension fund manager decides to invest a...Ch. 3.3 - Prob. 10E Ch. 3.3 - Prob. 11E Ch. 3.3 - Prob. 12E Ch. 3.3 - Blending The Mostpure Milk Company gets milk from...Ch. 3.3 - Profit The Muro Manufacturing Company makes two...Ch. 3.3 - Revenue A machine shop manufactures two types of...Ch. 3.3 - Revenue The manufacturing process requires that...Ch. 3.3 - Transportation A flash drive manufacturer has 370...Ch. 3.3 - Prob. 18E Ch. 3.3 - Prob. 19E Ch. 3.3 - Prob. 20E Ch. 3.3 - Life Sciences 21. Health Care David Willis takes...Ch. 3.3 - Predator Food Requirements A certain predator...Ch. 3.3 - Nutrition A dietician is planning a snack package...Ch. 3.3 - Health Care Jennifer Morales was given the...Ch. 3.3 - Prob. 25E Ch. 3.3 - Prob. 26E Ch. 3 - Determine whether each of the following statements...Ch. 3 - Determine whether each of the following statements...Ch. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 4RE Ch. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 6RE Ch. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 8RE Ch. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 10RE Ch. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 12RE Ch. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 14RE Ch. 3 - Graph each linear inequality. 15. y 2x + 3 Ch. 3 - Prob. 16RE Ch. 3 - Graph each linear inequality. 17. 2x + 6y 8 Ch. 3 - Prob. 18RE Ch. 3 - Graph each linear inequality. 19. y x Ch. 3 - Prob. 20RE Ch. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 22RE Ch. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 24RE Ch. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 26RE Ch. 3 - Use the given regions to find the maximum and...Ch. 3 - Prob. 28RE Ch. 3 - Use the graphical method to solve each linear...Ch. 3 - Prob. 30RE Ch. 3 - Use the graphical method to solve each linear...Ch. 3 - Prob. 32RE Ch. 3 - Prob. 33RE Ch. 3 - Prob. 34RE Ch. 3 - It is not necessary to check all corner points in...Ch. 3 - Prob. 36RE Ch. 3 - Prob. 37RE Ch. 3 - Prob. 38RE Ch. 3 - Profit Refer to Exercise 37. (a) How many batches...Ch. 3 - Prob. 40RE Ch. 3 - Prob. 41RE Ch. 3 - Construction A contractor builds boathouses in two...Ch. 3 - Prob. 43RE Ch. 3 - Prob. 44RE Ch. 3 - Prob. 45RE Ch. 3 - General Interest 46. Studying Ty Olden is trying...

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The graph of the feasible region for the system of inequalities − 2 < x < 3 , − 1 ≤ y ≤ 5 ; 2 x + y < 6 and check whether the region is bounded or unbounded.

Solution Summary: The author illustrates the feasible region for the system of inequalities by using the dashed line to join the coordinates of the equation.

Videos

To sketch: The graph of the feasible region for the system of inequalities −2<x<3 , −1≤y≤5 ; 2x+y<6 and check whether the region is bounded or unbounded.

Want to see the full answer?

Chapter 3 Solutions

The graph of the feasible region for the system of inequalities − 2 &lt; x &lt; 3 , − 1 ≤ y ≤ 5 ; 2 x + y &lt; 6 and check whether the region is bounded or unbounded.

Solution Summary: The author illustrates the feasible region for the system of inequalities by using the dashed line to join the coordinates of the equation.

Videos

To sketch: The graph of the feasible region for the system of inequalities −2<x<3 , −1≤y≤5 ; 2x+y<6 and check whether the region is bounded or unbounded.

Want to see the full answer?

Chapter 3 Solutions

The graph of the feasible region for the system of inequalities − 2 < x < 3 , − 1 ≤ y ≤ 5 ; 2 x + y < 6 and check whether the region is bounded or unbounded.