What do I need to know to graph a system of linear inequalities

This video tutorial explains how to graph linear inequalities by first understanding how to graph linear equations. It covers the importance of shading and using test points to determine solution areas, as well as how to decide if lines should be dashed or solid based on the inequality. The tutorial also emphasizes identifying solutions on the graph and using test points to verify them.

What is the first step in graphing linear inequalities?

• Check if the line is dashed or solid

• Determine the shading area

• Graph the equation as if it were an equality

• Identify test points

How do you determine the shading area when graphing linear inequalities?

• By using the slope-intercept form

• By drawing a solid line

• By checking the standard form

• By using test points

What does a dashed line indicate in the graph of a linear inequality?

• The line is not part of the graph

• The inequality is non-strict (e.g., ≤ or ≥)

• The inequality is strict (e.g., < or >)

• The line is part of the solution

When graphing linear inequalities, what does a solid line represent?

• The inequality is non-strict

• The line is not part of the solution

• The inequality is strict

• The line is dashed

Why is it important to identify solutions when graphing linear inequalities?

• To verify which points satisfy the inequality

• To determine the slope of the line

• To decide the color of the graph

• To find the y-intercept