2 x + 3 y ≥ − 2 3 y ≥ − 2 x − 2 y ≥ − 3 2 x − 3 2
Plot linear function y = − 3 2 x − 3 2 and mark everything above the line including the line itself.
-2 \\ \\3y>-2x-2 \ \ /:3\\ \\ y>-\frac{2}{3}x-\frac{2 }{3}"> 2 x + 3 y > − 2 3 y > − 2 x − 2 / : 3 y > − 3 2 x − 3 2
To graph the inequality 2 x + 3 y ≥ − 2 , first rewrite it in slope-intercept form. Then, graph the corresponding solid line and shade the area above this line. This shaded region represents all the solutions to the inequality.
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