Graphing Inequalities and Intercepts

This video tutorial explains how to graph inequalities on a coordinate plane, focusing on the differences and similarities with graphing on a number line. It covers basic inequalities like y < x and y > x, using dashed lines to represent open circles. The tutorial also discusses when to use solid lines for inequalities with equal to, and how to determine which side of the graph to shade. Advanced examples are provided, including special cases involving only x or y. The video concludes with a summary of key points and solutions to example problems.

What is the main difference between graphing inequalities on a number line and on a coordinate plane?

• Number lines use only solid lines, while coordinate planes use only dashed lines.

• Number lines and coordinate planes use the same method for graphing inequalities.

• Number lines use open and closed circles, while coordinate planes use dashed and solid lines.

• Number lines use colors for shading, while coordinate planes do not.

When graphing y < x, what type of line is used?

• Dotted line

• Dashed line

• No line

• Solid line

In the inequality y < x, which side of the line is shaded?

• No shading is needed

• Above the line

• Below the line

• On the line

For the inequality y > x, where do you shade on the graph?

• Above the line

• Below the line

• No shading is needed

• On the line

What type of line is used for y ≤ x?

• Solid line

• Dashed line

• Dotted line

• No line

In the inequality y ≤ x, which side of the line is shaded?

• No shading is needed

• Above the line

• On the line

• Below the line

For the inequality y ≥ x, where do you shade on the graph?

• Above the line

• Below the line

• On the line

• No shading is needed

What type of line is used for y < 3x - 2?

• Dashed line

• Solid line

• Dotted line

• No line

In the inequality y < 3x - 2, which side of the line is shaded?

• On the line

• Above the line

• No shading is needed

• Below the line

What type of line is used for y ≤ 3x - 2?

• No line

• Dotted line

• Dashed line

• Solid line