Graphing a system of two inequalities to determine the feasible region

The video tutorial explains how to graph a system of linear inequalities. It begins with an introduction to graphing inequalities and understanding the concepts of slope and y-intercept. The tutorial then demonstrates how to graph two inequalities, one with a dashed line and the other with a solid line, and explains the significance of each. It concludes with a method for determining the feasible region by using test points and shading the appropriate area on the graph.

What is the y-intercept of the equation y = 3x - 5?

• (-5, 0)

• (5, 0)

• (0, 5)

• (0, -5)

How should the boundary line be drawn for the inequality y > 3x - 5?

• Solid line

• Dashed line

• Dotted line

• Thick line

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

• The inequality excludes the boundary

• The inequality is not strict

• The inequality includes the boundary

• The inequality is strict

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

• (2, 2)

• (-1, -1)

• (0, 0)

• (1, 1)

What is the feasible region in a system of inequalities?

• The area where both inequalities are true

• The area where only one inequality is true

• The area where both inequalities are false

• The area outside the boundary lines