Question

Select the correct answer from each drop-down menu.

A system of two linear inequalities is graphed as shown, where the solution region is shaded.

Drop Box A: is, is not
Drop Box B:is, is not
Drop Box C:is, is not
Drop Box D:is, is not

Answer 1

1.) is

2.) is not

3.) is not

4.) is

Answer 2

For this case we must indicate which of the points belongs to the shaded region shown in the figure.

Point A: (- 3,2)

It is observed that when plotting, the point is located in the second quadrant, within the shaded region.

Point B: (- 7,5)

It is observed that when plotting, the point is located in the second quadrant, just above the dotted line, which means that it does not belong to the shaded region.

Point C: (2, -5)

It is observed that when plotting, the point is located in the fourth quadrant outside the shaded region.

Point D: (-14,6)

It is observed that when plotting, the point is located in the second quadrant, within the shaded region.

Answer:

A. Belongs to the region (is)

B. Does not belong to the region (is not)

C. Does not belong to the region (is not)

D. Belongs to the region (is)