How to graph an absolute value inequality with a horizontal compression

The video tutorial explains how to graph absolute value inequalities, focusing on the equation Y ≤ |3X + 1|. It covers the importance of understanding the vertex and transformations, using a table of values, and reflecting points over the axis of symmetry. The tutorial also discusses determining shading by using test points and ensuring the graph is part of the solution set.

What is the primary difference between graphing an equation and an inequality?

• The use of a different coordinate system

• The presence of a vertex

• The need for a table of values

• The inclusion of shading

How does the coefficient 3 in front of X affect the graph of the inequality?

• It vertically stretches the graph

• It horizontally compresses the graph

• It shifts the graph upwards

• It reflects the graph over the X-axis

What is the vertex of the graph for the inequality Y ≤ |3X + 1|?

• (1, 1)

• (1, 0)

• (0, 1)

• (0, 0)

Which test point is used to determine the shading of the graph?

• (0, 0)

• (-1, -1)

• (2, 2)

• (1, 1)

What does it mean if a test point satisfies the inequality?

• The graph is incorrect

• The test point is part of the solution

• The graph needs to be adjusted

• The inequality is invalid