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messersmith_power_introductory_algebra_1e_ch4_7_10

YOU TRY 6 Graph the solution set of the system. x 0 y 0 y 1 2 x 1 Using Technology A graphing calculator can be used to graph one or more linear inequalities in two variables. 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 the inequality for y giving y 2x 5. Next, graph the boundary equation y 2x 5 using a solid line since the inequality symbol is . Enter 2x 5 in Y1, press ZOOM, and select 6:ZStandard to graph the equation. 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 next on the left. Press GRAPH to see the inequality as shown next on the right. To shade below the line, press Y and move the cursor to the left of Y1 using the left arrow key. Press ENTER three times, and then move the cursor to the next line as shown next on the left. Press GRAPH to see the inequality y 2x 5, as shown next on the right. Graph the linear inequalities in two variables. 1) y 3x 1 2) y x 2 3) 2x y 4 4) x y 3 5) y 5x 3 6) 4 y 3x www.mhhe.com/messersmith SECTION 4.5 Linear Inequalities in Two Variables 293


messersmith_power_introductory_algebra_1e_ch4_7_10
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