7.6 Solve Linear Systems of
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1 7.6 Solve Linear Sstems of Linear Inequalities Goal p Solve sstems of linear inequalities in two variables. Your Notes VOCABULARY Sstem of linear inequalities Solution of a sstem of linear inequalities Graph of a sstem of linear inequalities GRAPHING A SYSTEM OF LINEAR INEQUALITIES Step each inequalit. Step 2 Find the of the graphs. The graph of the sstem is this intersection. Copright Holt McDougal. All rights reserved. Lesson 7.6 Algebra Notetaking Guide 89
2 7.6 Solve Linear Sstems of Linear Inequalities Goal p Solve sstems of linear inequalities in two variables. Your Notes VOCABULARY Sstem of linear inequalities A sstem of linear inequalities in two variables consists of two or more linear inequalities in the same variables. Solution of a sstem of linear inequalities An ordered pair that is a solution of each inequalit in the sstem Graph of a sstem of linear inequalities The graph of all solutions of the sstem GRAPHING A SYSTEM OF LINEAR INEQUALITIES Step Graph each inequalit. Step 2 Find the intersection of the graphs. The graph of the sstem is this intersection. Copright Holt McDougal. All rights reserved. Lesson 7.6 Algebra Notetaking Guide 89
3 Your Notes Eample Graph a sstem of three linear inequalities Graph the sstem of inequalities. > Inequalit 4 Inequalit 2 < Inequalit Solution Graph all three inequalities in the same coordinate plane. The graph of the sstem is the shown. The region is the line. The region is of the line 4. The region is the line 2 2 Checkpoint Graph the sstem of linear equations.. < > Lesson 7.6 Algebra Notetaking Guide Copright Holt McDougal. All rights reserved.
4 Your Notes Eample Graph a sstem of three linear inequalities Graph the sstem of inequalities. > Inequalit 4 Inequalit 2 < Inequalit Solution Graph all three inequalities in the same coordinate plane. The graph of the sstem is the triangular region shown. The region is above the line. The region is on and to the left of the line 4. The region is below the line Checkpoint Graph the sstem of linear equations.. < > Lesson 7.6 Algebra Notetaking Guide Copright Holt McDougal. All rights reserved.
5 Your Notes Eample 2 Write a sstem of linear inequalities Write a sstem of inequalities for the shaded region. Solution Inequalit One boundar line for the shaded region is. Because the shaded region is the 2 2 line, the inequalit is. 2 Inequalit 2 Another boundar 2 line for the shaded region has a slope of and a -intercept of. So, its equation is. Because the shaded region is the line, the inequalit is. The sstem of inequalities for the shaded region is: Inequalit Inequalit 2 Checkpoint Write a sstem of inequalities that defines the shaded region Homework Copright Holt McDougal. All rights reserved. Lesson 7.6 Algebra Notetaking Guide 9
6 Your Notes Eample 2 Write a sstem of linear inequalities Write a sstem of inequalities for the shaded region. Solution Inequalit One boundar line for the shaded region is 22. Because the shaded region is above the 2 2 dashed line, the inequalit is > 22. Inequalit 2 Another boundar line for the shaded region has 2 2 a slope of and a -intercept of 2. So, its equation is 2. Because the shaded region is below the solid line, the inequalit is 2. The sstem of inequalities for the shaded region is: > 22 Inequalit 2 Inequalit 2 Checkpoint Write a sstem of inequalities that defines the shaded region Homework 2 < 2 } 6 < 2 2 Copright Holt McDougal. All rights reserved. Lesson 7.6 Algebra Notetaking Guide 9
7 Words to Review Give an eample of the vocabular word. Sstem of linear equations Solution of a sstem of linear equations Consistent independent sstem Inconsistent sstem Dependent sstem Sstem of linear inequalities Solution of a sstem of linear inequalities Graph of a sstem of linear inequalities Review our notes and Chapter 7 b using the Chapter Review on pages of our tetbook. 92 Words to Review Algebra Notetaking Guide Copright Holt McDougal. All rights reserved.
8 Words to Review Give an eample of the vocabular word. Sstem of linear equations Solution of a sstem of linear equations The solution of the sstem is (2, ). Consistent independent sstem Inconsistent sstem Dependent sstem Sstem of linear inequalities > 4 < Solution of a sstem of linear inequalities A solution of the sstem > 4 < is (, 2). Graph of a sstem of linear inequalities 2 2 Review our notes and Chapter 7 b using the Chapter Review on pages of our tetbook. 92 Words to Review Algebra Notetaking Guide Copright Holt McDougal. All rights reserved.
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