Explanation Given: The inequality is y ≥ − 1 3 x + 4 . Graph: Procedure for Graphing the inequality. Step 1: Replace the provided inequality by an equals sign. This equation will be the boundary for the region. Step 2: Now, graph the line obtained in above step. Use dashed line if original inequality contains a < or > sign. Use a solid line if the original inequality contains a ≤ or ≥ sign. Step 3: Choose a test point which does not lie on boundary line. Substitute those coordinates in original inequality. If a true inequality is obtained, then shade the region on the side of the line containing the test point and if the obtained inequality is false, then shade the region on the side of line which is opposite to the test point. Now, consider the equation y ≥ − 1 3 x + 4 Following the above steps: Firstly, the boundary line is y = − 1 3 x + 4 . Secondly, graph y = − 1 3 x + 4 using a solid line because the inequality contains ≥ . The graphs for the equations are made by constructing tables for the equations with values of x and y. For equation y = − 1 3 x + 4 : Substitute 0 for x y = − 1 3 ( 0 ) + 4 y = 4 Substitute 6 for x y = − 1 3 ( 6

MyLab Math with Pearson eText -- 24 MonthStandalone Access Card -- for Intermediate Algebra with Integrated Review

8th Edition

ISBN: 9780135910023

Author: Tobey, John, Slater, Jeffrey, Blair, Jamie , Crawford, Jenny

Publisher: PEARSON

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Chapter 3.4, Problem 12E

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To graph: The inequality y≥−13x+4.

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Chapter 3.4, Problem 11E

Chapter 3.4, Problem 13E

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Chapter 3 Solutions

MyLab Math with Pearson eText -- 24 MonthStandalone Access Card -- for Intermediate Algebra with Integrated Review

Ch. 3.1 - Verbal and Writing Skills, Exercises 1-4 1. Graphs...Ch. 3.1 - Verbal and Writing Skills, Exercises 1-4 2. The...Ch. 3.1 - Verbal and Writing Skills, Exercises 1-4 Explain...Ch. 3.1 - Verbal and Writing Skills, Exercises 1-4 (5, 1) is...Ch. 3.1 - Find the missing coordinate. ( − 2 , _ _ _ _ ) is...Ch. 3.1 - Find the missing coordinate. ( − 5 , _ _ _ _ ) is...Ch. 3.1 - Find the missing coordinate. 7. is a solution of...Ch. 3.1 - Find the missing coordinate. ( _ _ _ _ _ , 2 3 )...Ch. 3.1 - Graph each equation. y = 2 x − 3 Ch. 3.1 - Graph each equation. 10.

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To graph: The inequality y ≥ − 1 3 x + 4 .

Solution Summary: The author explains the procedure for graphing the inequality using dashed lines and solid lines.

To graph: The inequality y≥−13x+4.

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Chapter 3 Solutions