Explanation Procedure used: “To graph a linear inequality in two variables: 1. Find the boundary by graphing an equation that substitutes an equal sign for the inequality symbol. Make a solid line if the boundary is included ( < or > ) or a dashed line if the boundary is not included ( < or > ) in the solution set. 2. Test any point that is not on the boundary line. 3. If the test point makes a true statement with the original inequality, shade the side containing the test point. 4. If the test point makes a false statement with the original inequality, shade the side opposite the side containing the test point.” Calculation: From the given, the inequality is observed to be a greater than or equal to inequality. So, the boundary will be included in the solution set. Thus, the solid line is used to represents the line. Replace the given inequality with equal sign. y = − 3 x + 1 Compare the equation y = − 3 x + 1 with y = m x + b and obtain the value of m and b . y = m ↓ x + b ↓ y = − 3 x + 1 The coefficient of x is observed to be − 3 . Thus, the slope of the equation is − 3 1 or 3 − 1 . Similarly, the value of b is 1, so the y -coordinate of y -intercept is 1. Thus, the y -intercept is ( 0 , 1 ) . Now obtain the additional points as follows. Since the slope is − 3 1 , vertically move 1 unit right in the x -axis and move horizontally 3 units downward in y -axis from the y -intercept ( 0 , 1 ) . That is, add 1 unit and subtract 3 unit to the x -coordinate and y -coordinate of ( 0 , 1 ) , respectively. Thus, the first point on the line is ( 1 , − 2 ) . Similarly other slope is 3 − 1 , move 1 unit left from the point ( 0 , 1 ) in the x -axis and move 3 units upward in y -axis

MML F/COLLEGE MAT F/TRADES - ACCESS CODE

10th Edition

ISBN: 9781323845967

Author: Hobbs

Publisher: PEARSON

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Chapter 9.2, Problem 54E

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To sketch: The graph of the inequality y≥−3x+1 using test points.

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Chapter 9.2, Problem 53E

Chapter 9.3, Problem 1LC

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Chapter 9 Solutions

MML F/COLLEGE MAT F/TRADES - ACCESS CODE

Ch. 9.1 - Find y if x = 4 in the equation 3x + 2y = 6. Ch. 9.1 - Locate the points in Fig. 9–12 by giving the...Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E

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The graph of the inequality y ≥ − 3 x + 1 using test points.

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To sketch: The graph of the inequality y≥−3x+1 using test points.

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Chapter 9 Solutions