Graphing Inequality Word Problems Explained

The video tutorial explains how to graph inequality word problems using a real-world example of an elevator's weight limit. It covers setting up the problem, writing the inequality, graphing it, and analyzing the graph to answer additional questions. The tutorial emphasizes understanding the relationship between the inequality and the graph's shaded region.

What is the standard form of an inequality word problem?

• ax + by = c

• ax + by ≤ c

• ax - by = c

• ax - by ≥ c

What is the maximum weight allowed in the elevator?

• 2000 pounds

• 1500 pounds

• 1200 pounds

• 1000 pounds

If x represents the number of males, what does y represent?

• Number of adults

• Number of females

• Number of children

• Number of seniors

What is the x-intercept of the inequality 200x + 120y ≤ 1200?

• (0, 6)

• (0, 10)

• (10, 0)

• (6, 0)

What is the y-intercept of the inequality 200x + 120y ≤ 1200?

• (0, 6)

• (0, 10)

• (10, 0)

• (6, 0)

On which axis do you plot the number of males?

• y-axis

• x-axis

• w-axis

• z-axis

What type of line is used to graph the inequality 200x + 120y ≤ 1200?

• Solid line

• Dotted line

• Double line

• Dashed line

If there are already 4 females in the elevator, what is the maximum number of males that can ride?

• 3 males

• 2 males

• 5 males

• 4 males

Would it be safe for 4 males and 4 females to ride the elevator?

• Yes, it is within the weight limit.

• No, it exceeds the weight limit.

• Yes, but only if they are children.

• No, it is exactly at the weight limit.

What does shading below the line in the graph represent?

• Values greater than the inequality

• Values less than the inequality

• Values equal to the inequality

• Values not related to the inequality