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messersmith_power_introductory_algebra_1e_ch4_7_10

Definition/Procedure Example Note: If (0, 0) is not on the line, it is an easy point to test in the inequality. (p. 288) All points in the shaded region satisfy 2x y 3. Use the Slope-Intercept Form to Graph a Linear Inequality in Two Variables Step 1: Write the inequality in the form y mx b (y mx b) or y mx b (y mx b) Step 2: Graph the boundary line y mx b. a) If the inequality contains or , make it a solid line. b) If the inequality contains or , make it a dotted line. Step 3: Shade the appropriate side of the line. a) If the inequality is in the form y mx b or y mx b, shade above the line. b) If the inequality is in the form y mx b or y mx b, shade below the line. (p. 290) Solve a System of Linear Inequalities by Graphing 1) Graph each inequality separately on the same axes. Shade lightly. 2) The solution set is the intersection (overlap) of the shaded regions. Heavily shade this region to indicate this is the solution set. (p. 291) x y est point 2x y 3 Graph using the slope-intercept method. x 4y 2 Step 1: Solve x 4y 2 for y. 4y x 2 y 1 4 x 1 2 Step 2: Graph y 1 4 x 1 2 as a solid line. Step 3: Since y 1 4 x 1 2 has a less than or equal to symbol, shade below the line. All points on the line and in the shaded region satisfy x 4y 2. x y x y 2 Graph the solution set of the system. y 2x 1 y 2 Any point in the shaded region will satisfy both inequalities. x y 5 y 2x 1 y 2 5 5 5 302 CHAPTER 4 Linear Equations and Inequalities in Two Variables www.mhhe.com/messersmith


messersmith_power_introductory_algebra_1e_ch4_7_10
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