Inequality Word Problems Explained

This video tutorial covers solving inequality word problems, focusing on understanding key terms associated with inequality symbols. It provides step-by-step solutions to two example problems: a car rental cost problem and an advertising cost comparison problem. The tutorial emphasizes labeling variables and expressions to simplify the process and ensure accurate solutions.

Which inequality symbol is associated with the terms 'greater than', 'more than', and 'above'?

• <

• ≥

• ≤

• >

What does the term 'at least' correspond to in inequality symbols?

• >

• <

• ≥

• ≤

In the car rental problem, what does the variable X represent?

• The rate per mile

• The flat fee

• The number of miles driven

• The total cost

What is the inequality set up for Catherine's car rental budget?

• 7 + 1.25X > 40

• 7 + 1.25X < 40

• 7 + 1.25X ≤ 40

• 7 + 1.25X ≥ 40

After solving the inequality for Catherine's car rental, what is the maximum number of miles she can drive?

• 25 miles

• 26 miles

• 24 miles

• 27 miles

In the advertisement cost problem, what does the variable X represent?

• The number of weeks

• The total cost

• The flat fee

• The rate per week

What is the inequality set up for comparing the costs of The Wall Street Journal and The Washington Post?

• 245 + 75X ≥ 95 + 125X

• 245 + 75X < 95 + 125X

• 245 + 75X > 95 + 125X

• 245 + 75X ≤ 95 + 125X

What is the first step in solving the inequality for the advertisement cost problem?

• Subtract 95 from both sides

• Subtract 245 from both sides

• Subtract 75X from both sides

• Subtract 125X from both sides

After solving the inequality for the advertisement cost problem, what is the maximum number of weeks the Washington Post will be less expensive?

• 4 weeks

• 1 week

• 3 weeks

• 2 weeks

What happens to the inequality sign when you divide both sides by a negative number?

• It disappears

• It becomes an equal sign

• It flips

• It stays the same