Question

Using the graph, complete the following statements.

a) The point (0, 0) ____ a solution to the inequality because it ______ the shaded region.

b) The point (2, 5) ____ a solution to the inequality because it ______ the shaded region.

c) The point (0, 2) ____ a solution to the inequality because it falls directly on a ____ line.

Options for Part A:
is
is not
is within
is not within

Options for Part B:
is
is not
is within
is not within

Options for Part C:
is
is not
solid
dashed

Answer 1

Part A: The point (0, 0) is not within the shaded region because it does not the shaded region.

Part B: The point (2, 5) is within the shaded region because it does the shaded region.

Part C: The point (0, 2) is on a solid line.

Part A

Complete the statement: The point (0, 0) is not within the shaded region.

Explanation: The shaded region represents all points where y is greater than or equal to x. At the point (0, 0), y is equal to x. Therefore, the point (0, 0) is not within the shaded region.

Part B

Complete the statement: The point (2, 5) is within the shaded region.

Explanation: The shaded region represents all points where y is greater than or equal to x. At the point (2, 5), y is greater than x. Therefore, the point (2, 5) is within the shaded region.

Part C

Complete the statement: The point (0, 2) is on a solid line.

Explanation: The solid line represents the equation y = x. The point (0, 2) falls directly on this line. Therefore, the point (0, 2) is on a solid line.

Final answers:

Part A: The point (0, 0) is not within the shaded region because it does not the shaded region.

Part B: The point (2, 5) is within the shaded region because it does the shaded region.

Part C: The point (0, 2) is on a solid line.