Learn how to graph a system of linear inequalities of two vertical boundary lines

The video tutorial explains how to graph a system of linear inequalities. It begins by introducing the concept of graphing inequalities using tables of values. The instructor demonstrates how to graph vertical lines for X = -1 and X = 3, and explains the significance of inequality symbols, particularly the use of dashed lines. The tutorial concludes with a demonstration of how to determine and shade the solution area by using test points, ensuring that the shaded region satisfies both inequalities.

What is the primary method suggested for graphing linear inequalities without slope-intercept form?

• Using a table of values

• Using a compass

• Using a protractor

• Using a graphing calculator

When graphing X = -1, what type of line is used to represent the inequality X > -1?

• Dashed line

• Solid line

• Curved line

• Dotted line

What is the significance of using a dashed line when graphing inequalities?

• It represents a curved boundary

• It shows the line is not part of the solution

• It indicates the line is part of the solution

• It marks the midpoint of the graph

Which test point is commonly used to determine the shading area for inequalities?

• (1,1)

• (0,0)

• (-1,-1)

• (2,2)

What does shading between two boundary lines on a graph indicate?

• The area where only one inequality is true

• The area where both inequalities are false

• The area where both inequalities are true

• The area where neither inequality is true