5 6 study guide and intervention graphing inequalities in two variables

NAME ______________________________________________ DATE______________________________ PERIOD ______________5-6 Study Guide and InterventionGraphing Inequalities in Two VariablesGraph Linear InequalitiesThe solution set of an inequality that involves two variables is graphed by graphing arelated linear equation that forms a boundary of ahalf-plane. The graph of the ordered pairs that make up the solutionset of the inequality fill a region of the coordinate plane on one side of the half–plane.Example:Graphy≤ –3x– 2.Graphy= –3x– 2.Sincey≤ –3x– 2 is the same asy< –3x– 2 andy= –3x– 2, the boundary is includedin the solution set and the graph should be drawn as a solid line.Select a point in each half plane and test it. Choose (0, 0) and (–2, –2).y≤ –3x– 2y≤ –3x0 ≤ –3(0) – 2–2 ≤ –3(–2) – 20 ≤ –2 is false.–2 ≤ 6 – 2–2 ≤ 4 is true.The half-plane that contains (–2, –2) contains the solution. Shade that half-plane.ExercisesGraph each inequality.1.y< 42.x≥ 13.34.–x>y5.x–y≥ 16.2x7.y< –12x– 38.4x– 3y< 69.3x+ 6– 2x≤y– 3y≤ 6y≥ 12Chapter 536Glencoe Algebra 1