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FST: Investigating Linear Inequalities Exercise Objective- To investigate graphing linear inequalities and make a conjecture through analyzing and comparing your results with others in the class. Directions: Evaluate the following points and determine if they are a solution to the inequality your group was given. If the point is a solution, plot the point in one color on the coordinate plane. If the point is not a solution to the inequality, plot the point in a different color on your graph. Group 1: y ≥ 2x – 3 Group 2: y ≤ 2x – 3 Group 3: y ≤ -2x + 3 Group 4: y ≥ -2x – 3 Group 5: y < 2x – 4 Group 6: y > 2x + 4 1 Group 7: y < 2x + 2 Test and Plot each Point: (-4, 0) (4, 5) (0, 2) (-3, 4) (1, 0) (-4, -2) (2, 0) (5, 0) (1, -1) (4, 2) Analyze and Interpret: a.) The inequality your group was given is your boundary line. Replace the inequality symbol with an equal sign and graph the line on the coordinate plane. b.) Test a point on your line by plugging in the x and y coordinates from the ordered pair in your group’s inequality. If the point your tested makes the inequality true, graph a solid line. If the point you tested does not make the inequality true, represent your line with a dashed line. Make a Conjecture: Compare your results with the class. Which inequalities had a solid line vs. a dashed line? Which inequalities had solution points above vs. below the boundary line? Make a conjecture using your results regarding how to graph linear inequalities? _______________________________________________________________________________________________________ _______________________________________________________________________________________________________