Learn how to graph a word problem system of inequalities

The video tutorial explains how to set up and solve a problem involving time management for exercise and writing. It introduces variables to represent unknowns, sets up inequalities based on given constraints, and demonstrates how to graph these inequalities. The tutorial concludes by identifying the feasible region where all conditions are met.

What are the unknowns in Ramier's time management problem?

• The number of novels he writes and the number of books he reads

• The hours he exercises and the hours he writes

• The number of exercises he does and the number of novels he writes

• The hours he spends on leisure and the hours he works

What is the inequality for the total hours Ramier can spend on writing and exercising?

• X + Y ≥ 40

• X + Y > 40

• X + Y < 40

• X + Y ≤ 40

What is the range of hours Ramier wants to spend on exercising?

• At least 3 hours and no more than 18 hours

• At least 2 hours and no more than 15 hours

• At least 5 hours and no more than 20 hours

• At least 4 hours and no more than 16 hours

How do you graph the inequality X = 3?

• As a curve passing through X = 3

• As a diagonal line through the origin

• As a vertical line at X = 3

• As a horizontal line at Y = 3

What type of line is used to graph Y = 22?

• Vertical line

• Diagonal line

• Horizontal line

• Curved line

What is the significance of the feasible region in the graph?

• It shows the maximum hours Ramier can work

• It highlights the hours Ramier spends on leisure

• It represents the area where all inequalities are satisfied

• It indicates the hours Ramier cannot work

Why are solid lines used instead of dotted lines in the graph?

• Because the lines represent maximum values

• Because the graph is a rough sketch

• Because the inequalities include equal to conditions

• Because the inequalities are strict