Graphing Inequalities and Line Types

The video tutorial explains how to graph inequalities by examining the inequality symbol to determine whether to use a dotted or solid line. It provides two examples: one where Y is less than X plus 3, requiring a dotted line, and another where Y is greater than or equal to 2X minus 2, requiring a solid line. The tutorial emphasizes checking the symbol before drawing the line to ensure correct representation.

What is the first step in graphing an inequality?

• Shade the graph.

• Draw a solid line.

• Look at the inequality symbol.

• Choose random points on the graph.

In the inequality Y < X + 3, what type of line should be used?

• Solid line

• Dashed line

• Curved line

• No line

What is the first point used in graphing Y < X + 3?

• (1, 4)

• (0, 3)

• (0, 0)

• (-3, 0)

What is the third point used in graphing Y < X + 3?

• (-3, 0)

• (1, 4)

• (0, 3)

• (2, 2)

Why do we use a dotted line for the inequality Y < X + 3?

• Because the points are part of the solution.

• Because it is a quadratic equation.

• Because it is a horizontal line.

• Because the inequality is strict and does not include the line.

What does a dotted line on a graph indicate about the points on the line?

• They are part of the solution.

• They are not part of the solution.

• They are the only solution.

• They are irrelevant.

In the inequality Y ≥ 2X - 2, what type of line should be used?

• Solid line

• Curved line

• Dotted line

• No line

What is the second point used in graphing Y ≥ 2X - 2?

• (1, 0)

• (2, 2)

• (3, 3)

• (0, -2)

Which of the following points is used in graphing Y ≥ 2X - 2?

• (2, 2)

• (1, 0)

• (0, 3)

• (-3, 0)

Which of the following is NOT a point used in graphing Y ≥ 2X - 2?

• (1, 4)

• (1, 0)

• (2, 2)

• (0, -2)