Learn how to graph a word problem system of inequalities

The video tutorial guides students through setting up and solving a problem involving time management for writing and exercising. It introduces variables to represent unknowns, sets up inequalities based on given constraints, and demonstrates how to graph these inequalities to find a feasible region. The tutorial concludes with a summary and instructions for the next class.

What are the variables used to represent the hours Ramier spends on exercising and writing?

• A and B

• P and Q

• X and Y

• M and N

What is the maximum number of hours Ramier can spend on exercising per week?

• 10 hours

• 18 hours

• 15 hours

• 20 hours

Which inequality represents the total hours Ramier can spend on writing and exercising?

• X + Y > 40

• X + Y ≤ 40

• X + Y ≥ 40

• X + Y < 40

How do you graph the inequality X = 3?

• As a curved line

• As a horizontal line

• As a vertical line

• As a diagonal line

What type of line is used to represent inequalities that include 'less than or equal to'?

• Curved line

• Solid line

• Dashed line

• Dotted line

What is the feasible region in the context of graphing inequalities?

• The area outside the graph

• The area where no inequalities are satisfied

• The area where all inequalities are satisfied

• The area where only one inequality is satisfied

What is the significance of shading in graphing inequalities?

• It highlights the area where inequalities are not satisfied

• It indicates the axis labels

• It decorates the graph

• It shows the area where inequalities are satisfied