Finding Solutions in Graphed Inequalities

The video tutorial explains how to determine if a coordinate is a solution on a graph. It covers the significance of dashed lines, which indicate that points on these lines are not included in the solution set. The tutorial walks through examples of evaluating specific coordinates to see if they fall within the shaded area of the graph, emphasizing the importance of understanding graph boundaries and coordinate placement.

What does a dashed line on a graph indicate about the points on it?

• Points on the line are excluded.

• Points on the line are highlighted.

• Points on the line are included.

• Points on the line are optional.

If a coordinate is on a dashed line, what does it mean for its validity as a solution?

• It is a valid solution.

• It is not a valid solution.

• It is partially valid.

• It depends on the graph.

What should you check first when determining if a coordinate is a solution of a graph?

• If it is at the origin.

• If it is on a solid line.

• If it is within the shaded area.

• If it is on a dashed line.

Which of the following coordinates is likely to be a valid solution if it is within the shaded area?

• (1/2, 0)

• (0, 2)

• (1, -3)

• (2, -4)

Why is the coordinate (1, -3) not a valid solution in the given example?

• It is outside the shaded area.

• It is at the origin.

• It is on a dashed line.

• It is not on the graph.