Using Technology To graph a linear inequality in two variables using a graphing calculator, fi rst solve the inequality for y. Then graph the boundary line found by replacing the inequality symbol with an symbol. For example, to graph the inequality 2x y 5, solve it for y 2x 5. Graph the boundary equation y 2x 5 using a solid line since the inequality symbol is . Press Y , enter 2x 5 in Y1, press ZOOM, and select 6:ZStandard to graph the equation as shown. If the inequality symbol is , shade below the boundary line. If the inequality symbol is , shade above it. To shade above the line, press Y and move the cursor to the left of Y1 using the left arrow key. Press ENTER twice and then move the cursor to the next line as shown below left. Press GRAPH to graph the inequality as shown below right. 1 1 y 2x 5 10 y 2x 5 10 To shade below the line, press Y and move the cursor to the left of Y1 using the left arrow key. Keep pressing ENTER until you see next to Y1, then move the cursor to the next line as shown below left. Press GRAPH to graph the inequality y 2x 5 as shown below right. y 2x 5 10 10 Graph the linear inequalities in two variables. 1) y 5x 2 2) y x 4 3) x 2y 6 4) y x 5 5) y 4x 1 6) y 3x 6 ANSWERS TO YOU TRY EXERCISES 1) a) x y 5 5 5 5 b) 2x y 4 x y 5 x 4y 12 5 5 5 SECTION www.mhhe.com/messersmith 4.4 Linear and Compound Linear Inequalities in Two Variables 193
messersmith_power_intermediate_algebra_1e_ch4_7_10
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