How do you graph 2 variable inequalities?

To graph two-variable inequalities, first, graph the corresponding equation as if it were an equality (e.g., (y = mx + b)). Use a solid line for "less than or equal to" (≤) or "greater than or equal to" (≥) and a dashed line for "less than" (<) or "greater than" (>). Next, choose a test point (often the origin) to determine which side of the line to shade, representing the solution set. Finally, shade the appropriate region of the graph that satisfies the inequality.