Use a graphing utility to graph the inequality.Shade the region representing the solution.

Question

Quizplus · Accepted Answer

The inequality can be written as 3x + y ≤ 6, which we can rearrange as y ≤ -3x + 6. This is the equation of a line with slope -3 and y-intercept 6. To graph the inequality, we shade the region below this line, including the points on the line itself. The shaded region forms a triangle with vertices at (0,6), (2,0), and (0,0). Choice B correctly shows this shaded region.

Use a Graphing Utility to Graph the Inequality