Question

Previous Problem Problem List Next Problem (1 point) Graph the system of inequalities. Tell whether the system is bounded or unbounded and list each comer point 2 + 5y 2 10 > > 21 10 y 0 Is the region bounded or unbounded?

Answer 1

To graph the system of inequalities 2 + 5y < 21 and 10 > y > 0, we need to find the overlapping region. The region is bounded and the corner points are (0, 0) and (0, 3.8).

Step-by-step explanation:

To graph the system of inequalities 2 + 5y < 21 and 10 > y > 0, we need to analyze each inequality separately and then find the overlapping region.

For the first inequality 2 + 5y < 21, we can subtract 2 from both sides to get 5y < 19. Then divide by 5 to get y < 3.8. This represents the shaded region below the line y = 3.8.

For the second inequality 10 > y > 0, we have y values between 0 and 10. This represents the shaded region between the x-axis and the line y = 10.

The overlapping region is the region where both shaded regions intersect, which is the area below the line y = 3.8 and above the x-axis. This region is bounded.

The corner points of the bounded region are (0, 0) and (0, 3.8).