Graph the system of three linear inequalities and determine the feasible region ex 15

The video tutorial explains how to graph a system of linear inequalities, focusing on three specific inequalities. It covers the process of graphing each inequality separately, determining whether boundary lines are part of the solution, and using test points to identify the solution region. The tutorial emphasizes the importance of understanding slope-intercept form and the role of inequality symbols in graphing.

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

• Shade the feasible region.

• Find the intersection points.

• Convert inequalities into equations.

• Solve the inequalities algebraically.

How do you determine if a boundary line is part of the solution for an inequality?

• By calculating the y-intercept.

• By finding the slope of the line.

• By checking if the inequality is strict or non-strict.

• By solving the inequality for x.

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

• The line is not part of the solution.

• The inequality is strict.

• The line is part of the solution.

• The inequality is non-strict.

In slope-intercept form, what does the slope represent?

• The change in y over the change in x.

• The y-intercept of the line.

• The midpoint of the line.

• The x-intercept of the line.

Why is it important to write the slope as a fraction?

• To determine the x-intercept.

• To accurately represent rise over run.

• To simplify the equation.

• To find the y-intercept.

What is the purpose of choosing a test point when graphing inequalities?

• To find the intersection of lines.

• To determine the slope of the line.

• To decide where to shade the graph.

• To calculate the y-intercept.

Which point is commonly used as a test point in graphing inequalities?

• (1,1)

• (0,0)

• (-1,-1)

• (2,2)