Learn how to graph a system of linear inequalities in standard form

The video tutorial focuses on graphing linear inequalities, emphasizing the importance of rewriting equations in slope-intercept form. It demonstrates how to solve inequalities for Y and graph them, using examples of Y < -2/3X + 2 and Y ≥ -2/3X + 4. The tutorial highlights the significance of identifying slopes and Y-intercepts, plotting points, and using dashed or solid lines based on inequality symbols. It also explains shading regions to represent solutions and discusses the concept of parallel lines in systems of inequalities.

What is the slope of the line represented by the inequality 3Y < -2X + 6?

Explain how to determine the Y-intercept from the equation Y < -2/3X + 2.

What does it mean when the line is dashed in a graph of an inequality?

Describe the process of graphing the inequality Y >= -2/3X + 4.

In the context of the given inequalities, what can be concluded about the solution set?