Gaph 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?

• Solve each inequality for y.

• Treat each inequality as an equation.

• Shade the region of the graph.

• Find the intersection of the inequalities.

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

• Verify if the inequality has a positive slope.

• Check if the inequality is strict or non-strict.

• See if the line passes through the origin.

• Determine if the line is horizontal.

What form is used to graph the third inequality?

• Intercept form

• Slope-intercept form

• Point-slope form

• Standard form

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

• To ensure the slope is positive.

• To accurately represent rise over run.

• To simplify the equation.

• To make the graphing process faster.

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

• To calculate the y-intercept.

• To determine the slope of the line.

• To find the intersection of lines.

• To decide where to shade the graph.

Which test point is commonly used to determine shading in a graph?

• (1,1)

• (2,2)

• (0,0)

• (-1,-1)

What does it mean if a test point satisfies an inequality?

• The point is irrelevant to the solution.

• The point is within the solution region.

• The point is outside the solution region.

• The point is on the boundary line.