Graphing a system of liner inequalities with shading

The teacher discusses the need to format and upload video tutorials, which will be available for students to check their homework answers. The lesson focuses on graphing systems of inequalities, specifically how to graph Y is greater than or equal to 3/2x - 3 and Y is less than -2x + 4. The teacher explains the importance of using test points and identifying the solution region where both inequalities are true.

What is the main task discussed in the video tutorial?

• Solving systems of equations by substitution

• Solving systems of inequalities by graphing

• Solving linear equations

• Solving quadratic equations

When graphing the inequality Y ≥ 3/2x - 3, what type of line should be used?

• Dashed line

• Solid line

• Dotted line

• No line

Which test point is recommended for checking inequalities?

• (0,0)

• (-1,-1)

• (1,1)

• (2,2)

What is the slope of the line for the inequality Y < -2x + 4?

• 2

• -2

• 1/2

• -1/2

What is the significance of the shaded region in the graph of a system of inequalities?

• It represents the intersection of the lines

• It represents the area outside the solution

• It represents the solution to both inequalities

• It represents the solution to only one inequality