Car Width and Inequalities

This video tutorial covers lesson 15 in module 3, focusing on graphing solutions to inequalities. It begins with an introduction to the concept of graphing inequalities, followed by two practical examples. The first example involves determining the maximum width of cars that can fit in a garage, while the second example estimates the number of weeks needed to reduce a car dealership's inventory to less than 75 cars. The tutorial emphasizes solving inequalities and graphing the solutions for a visual understanding.

What is the primary focus when graphing solutions of inequalities?

• Finding a single number solution

• Ignoring the inequality

• Visualizing a set of number solutions

• Focusing only on positive numbers

In the car garage problem, what is the total width of the garage opening in feet?

• 23 feet

• 23.5 feet

• 24 feet

• 22.5 feet

How do you convert 3 feet 6 inches into feet?

• 3.25 feet

• 3.5 feet

• 4 feet

• 3.6 feet

What is the inequality set up to solve for the car width?

• 2c + 10.5 > 23.5

• 2c + 10.5 ≤ 23.5

• 2c + 10.5 = 23.5

• 2c + 10.5 ≥ 23.5

When solving the inequality for car width, what operation is used to isolate the variable c?

• Addition

• Subtraction

• Multiplication

• Division

In graphing the car width solution, what type of circle is used at 6.5 on the number line?

• Closed circle

• Open circle

• Double circle

• No circle

Which direction does the arrow point when graphing the car width solution?

• To the right

• To the left

• Downwards

• Upwards

In the car dealership problem, how many cars are initially on the lot?

• 500 cars

• 525 cars

• 550 cars

• 575 cars

What is the inequality used to determine the number of weeks to reduce the car inventory?

• 525 + 50w > 75

• 525 - 50w < 75

• 525 + 50w < 75

• 525 - 50w > 75

When graphing the solution for the car dealership problem, what type of circle is used at 9 on the number line?

• Double circle

• No circle

• Closed circle

• Open circle