How do you graph a system of linear inequalities

This video tutorial explains how to graph linear inequalities step by step. It covers the process of graphing each inequality separately, determining whether lines should be dashed or solid based on inequality symbols, and identifying the feasible region by shading. The tutorial emphasizes the importance of testing points not on the lines to determine the correct shading area, ultimately helping viewers understand how to graph a system of linear inequalities effectively.

What is the first step in graphing a system of linear inequalities?

• Determine the shading region.

• Use color pencils for shading.

• Identify the feasible region.

• Graph each inequality separately.

How do you decide whether to use a dashed or solid line when graphing an inequality?

• By the inequality symbol.

• By the length of the line.

• By the slope of the line.

• By the color of the line.

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

• The points on the line are not part of the solution.

• The points on the line are part of the solution.

• The line should be shaded.

• The line is the only solution.

Which point is commonly used as a test point to determine the shading region?

• (1, 1)

• (0, 0)

• (2, 2)

• (3, 3)

What is the purpose of identifying the feasible region in graphing inequalities?

• To decide the color of the graph.

• To locate where both inequalities are true.

• To determine the slope of the line.

• To find where one inequality is true.