5 6 Study Guide And Intervention Graphing Inequalities In Two Variables

5 6 Study Guide And Intervention Graphing Inequalities In Two Variables Write an inequality for the range of values of x 5 115 120 24 40 24 4x 10 6 33 60 60 36 30 3x 3 5 6 Study Guide and Intervention Inequalities in Two Triangles ST80 R BC60 A 36 33 R T N S MP Compare the measures of GF and FE H E F G 22 28 Two sides of HGF are congruent to two sides of HEF and m GHF m

The graph of a compound inequality containing and is the intersection of the graphs of the two inequalities Every solution of the compound inequality must be a solution of both inequalities Example 1 Graph the solution set of x 2 and x 1 Graph x 2 Graph x 1 Find the intersection The solution set is x 1 x 2 Chapter 5 38 Glencoe Algebra 1 Skills Practice Graphing Inequalities in Two Variables Match each inequality to the graph of its solution 1 y 2x 2 b a b 2 y 3x d 3 2y x 4 a 4 x y 1 c c d Graph each inequality 5 y 1 6 y x 5 7 y 3x 8 y 2x 4 9 y x 3 10 y x 1 Use a graph to solve each inequality

Write an inequality relating the lengths of CwDw and AwDw Two sides of nBCD are congruent to two sides of nBAD and m CBD m ABD By the SAS Inequality Hinge Theorem CD AD Write an inequality relating the given pair of segment measures 1 2 MR RP AD CD 3 4 EG HK MR PR Write an inequality to describe the possible values of x 5 6 62

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5 6 Study Guide And Intervention Graphing Inequalities In Two Variables

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Graph Linear Inequalities The solution set of an inequality that involves two variables is graphed by graphing a related linear equation that forms a boundary of a half plane The graph of the ordered pairs that make up the solution set of the inequality fill a region of the coordinate plane on one side of the half plane Graph yExample 3x 2

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The graph of the ordered pairs that make up the solution set of the inequality fill a region of the coordinate plane on one side of the half plane Graph y3x2 Graph y3x2 Since y3x2 is the same as y3x2 and y3x2 the boundary is included in the solution set and the graph should be drawn as a solid line

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Study Guide and Intervention Systems of Inequalities Systems of Inequalities The solution of a system of inequalities is the set of all ordered pairs that satisfy both inequalities If you graph the inequalities in the same coordinate plane the solution is the region where the graphs overlap Solve the system of inequalities by graphing y x 2

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Graph Linear InequalitiesThe solution set of an inequality that involves two variables is graphed by graphing a related linear equation that forms a boundary of a half plane The graph of the ordered pairs that make up the solution set of the inequality fill a region of the coordinate plane on one side of the half plane Example Graph y 3x 2

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Graphing Technology Personal Tutors Other Calculator Keystrokes Meet the Authors About the Cover Scavenger Hunt Recording Sheet Chapter Resources Chapter Readiness Quiz Chapter Test Math in Motion Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Personal Tutor Self Check Quizzes Lesson 5 6 Graphing Inequalities in Two Variables 4 1 18 reviews y x 2 Click the card to flip Click the card to flip 1 13

Replace the inequality sign with an equals sign and solve forx 2x 2 1 Original inequality 2x 2 1 Change to 2x 3 Subtract 2 from each side and simplify x 3 2 Divide each side by 2 Graphx 3 2 as a dashed line Step 2Choose 0 0 as a test point Substituting these values into the original inequality give us 2 1