Explanation Procedure used: “Graphing system of linear equations” (1) Plot the first linear inequality is plotted on the graph paper for which initially obtain the corresponding straight line by replacing inequality symbol by equality symbol, with a dashed line if the inequality is strict and a solid line if the inequality is not strict. In order to choose the region which is satisfied by given inequality, a point not lying on the line is chosen randomly and the coordinate values of ( x , y ) are checked to satisfy the inequality. If true, shade the side of the line containing the point that is the solution set of this inequality, else shade the other side. (2) Similarly, plot the second linear inequality on the same graph. Calculation: Consider the given equations. 4 x − 2 y < 8 (1) x + 3 y < 6 (2) Step 1: The first inequality is 4 x − 2 y < 8 . The corresponding limiting straight line of the inequality is 4 x − 2 y = 8 . Since the inequality is strict ( < ) , the line will be dotted. Substituting x = 0 and y = 0 in the inequality, the following is obtained: 4 x − 2 y < 8 4 ( 0 ) − 2 ( 0 ) < ? 8 0 + 0 < ? 8 0 < 8 ( True ) Thus, the point ( 0 , 0 ) lies in the solution region

3rd Edition

ISBN: 9780321880116

Author: Michael Sullivan III, Katherine R. Struve, Janet Mazzarella

Publisher: PEARSON

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Chapter 4, Problem 18T

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To solve: The system of linear inequalities 4x−2y<8 and x+3y<6 by method of graphing.

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Chapter 4, Problem 17T

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Chapter 4 Solutions

Elementary & Intermediate Algebra

Ch. 4.1 - A _____ is a grouping of two or more linear...Ch. 4.1 - A _____ of a system of equations consists of...Ch. 4.1 - Prob. 3E Ch. 4.1 - In Problems 3 and 4, determine whether each...Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - In Problem 8, solve the system by graphing. 8....Ch. 4.1 - Prob. 9E Ch. 4.1 - If a system of linear equations in two variables...

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The system of linear inequalities 4 x − 2 y < 8 and x + 3 y < 6 by method of graphing.

Solution Summary: The author explains how to solve the system of linear inequalities by graphing. The solution set is the common area in the graph shown in Figure 2.

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To solve: The system of linear inequalities 4x−2y<8 and x+3y<6 by method of graphing.

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Chapter 4 Solutions

The system of linear inequalities 4 x − 2 y &lt; 8 and x + 3 y &lt; 6 by method of graphing.

Solution Summary: The author explains how to solve the system of linear inequalities by graphing. The solution set is the common area in the graph shown in Figure 2.

Videos

To solve: The system of linear inequalities 4x−2y<8 and x+3y<6 by method of graphing.

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Chapter 4 Solutions

The system of linear inequalities 4 x − 2 y < 8 and x + 3 y < 6 by method of graphing.