Exploring Systems of Inequalities Through Word Problems

What is the main focus of the problems discussed in the video?

• Creating a system of inequalities from a word problem

• Graphing linear equations

• Solving quadratic equations

• Creating a system of equations from a word problem

In Maria's bouquet problem, what do the variables x and y represent?

• x represents carnations and y represents roses

• x represents roses and y represents carnations

• x represents the total cost and y represents the number of flowers

• x represents the number of flowers and y represents the total cost

What is the inequality that represents Maria's budget constraint?

• 5x + 2y ≥ 50

• 5x + 2y ≤ 50

• 5x + 2y = 50

• 5x + 2y > 50

What does the inequality x ≥ y + 3 represent in Maria's problem?

• Maria wants at least three more carnations than roses

• Maria wants at least three more roses than carnations

• Maria wants exactly three more roses than carnations

• Maria wants exactly three more carnations than roses

In the Student Council problem, what is the maximum amount available for transportation?

• $500

• $600

• $700

• $800

How many students are needed at minimum for the Student Council trip to proceed?

• 200

• 220

• 240

• 260

What is the inequality that represents the cost constraint for the Student Council problem?

• 80R + 60M = 600

• 80R + 60M ≥ 600

• 80R + 60M > 600

• 80R + 60M ≤ 600

What is the inequality that represents the student number constraint for the Student Council problem?

• 40R + 20M > 240

• 40R + 20M = 240

• 40R + 20M ≤ 240

• 40R + 20M ≥ 240

Why is the graph only made in the first quadrant?

• Because the graph is only for positive values

• Because the graph is only for negative values

• Because the graph is too complex

• Because negative values of R and M do not make sense

Which of the following points is a valid solution for the Student Council problem?

• (0, 3)

• (2, 5)

• (3, 6)

• (1, 4)