How to shade absolute value inequalities

The video tutorial explains how to graph absolute value inequalities, focusing on determining whether the graph should be solid or dashed based on the inequality symbols. It emphasizes the use of test points, particularly (0,0), to verify solutions and determine which side of the graph to shade. The tutorial provides examples of using test points and explains the process of evaluating inequalities to identify true or false points, ultimately guiding viewers on how to shade the correct region of the graph.

What determines whether a line is solid or dashed when graphing absolute value inequalities?

• The color of the line

• The type of inequality symbol

• The slope of the line

• The length of the line

Why is the test point (0,0) often used when evaluating inequalities?

• It is always false

• It is the only available test point

• It simplifies calculations

• It is always part of the solution

In the example using the test point (0,0), what was the result of the inequality evaluation?

• True, because 0 is less than or equal to 7

• False, because 0 is equal to 7

• True, because 0 is greater than 7

• False, because 0 is greater than 7

What should you do if the test point (0,0) is on the graph and not part of the solution?

• Use the same test point again

• Ignore the test point

• Change the inequality

• Use a different test point

When using an alternative test point, what indicates that all points above the line are solutions?

• The test point is false

• The test point is true

• The line is solid

• The line is dashed