Graphing Inequalities: Key Concepts and Techniques

The video tutorial covers graphing inequalities, starting with a review of graphing lines using slope and y-intercept. It explains how to graph inequalities by shading regions above or below the line, depending on the inequality symbol. The tutorial includes examples and practice problems, emphasizing the importance of understanding inequality symbols and their implications for graphing. Special cases, such as vertical and horizontal lines, are also discussed.

What does the 'M' in the line equation represent?

• Y-intercept

• X-intercept

• Slope

• Coefficient of Y

What type of line is used to graph an inequality that includes the value it represents?

• Solid line

• No line

• Dotted line

• Thick line

If an inequality symbol has no line underneath it, how should the graph be represented?

• With no line

• With a dashed line

• With a solid line

• With a double line

In the context of inequalities, what does shading above the line indicate?

• No values are related to the line

• The values are greater than the line

• The values are equal to the line

• The values are less than the line

What is the correct graph representation for 'y > 2x + 1'?

• Solid line with shading below

• Dashed line with shading below

• Dashed line with shading above

• Solid line with shading above

How do you start plotting a line if you know the y-intercept is 3?

• Start at (0,3) on the graph

• Start at (3,0) on the graph

• Start at (3,3) on the graph

• Start at (0,0) on the graph

What does a dashed line signify in an inequality graph?

• The values are equal to the line

• The inequality does not include the line

• It is used for horizontal lines only

• The inequality includes the line

For the inequality 'x < 4', where should the shading be applied?

• To the right of the line x=4

• Above the line x=4

• To the left of the line x=4

• Below the line x=4

What is the correct way to graph the inequality 'y ≤ -2x + 3'?

• Dashed line with shading below

• Solid line with shading above

• Solid line with shading below

• Dashed line with shading above

If the inequality is 'y > 3', and y is a horizontal line, where is the shading?

• Above the line

• Below the line

• To the right of the line

• To the left of the line