Writing Linear Inequalities from Word Problems

The video tutorial explains how to write linear inequalities from word problems. It begins with an introduction to inequalities and the symbols used. The tutorial then discusses keywords associated with each inequality symbol, which helps in translating word problems into mathematical expressions. Two examples are provided: one involving an amusement park visit and another about renting a car. Each example demonstrates how to identify keywords, set up the inequality, and solve for the variable.

Which of the following symbols represents 'greater than'?

• >

• <

• ≥

• ≤

What does the symbol '≤' represent?

• Less than or equal to

• Greater than

• Less than

• Greater than or equal to

Which keyword is associated with the 'greater than or equal to' symbol?

• Not equal

• Below

• At least

• At most

In the amusement park problem, what is the maximum amount the group of friends can spend?

• $16.25

• $365

• $38.75

• $162.50

What does the variable 'P' represent in the amusement park problem?

• Parking fee

• Total cost

• Number of people

• Ticket price

In the amusement park problem, what is the cost per person for tickets?

• $38.75

• $162.50

• $365

• $16.25

What is the inequality expression for the amusement park problem?

• 16.25 + 38.75P ≤ 365

• 38.75P + 16.25 ≤ 365

• 38.75 + 16.25P ≤ 365

• 16.25P + 38.75 ≤ 365

In the car rental problem, what is the daily rental charge?

• $420

• $150

• $20.59

• $0.06

What does the variable 'X' represent in the car rental problem?

• Total cost

• Number of miles driven

• Number of days

• Daily rental charge

What is the inequality expression for the car rental problem?

• 20.59X + 9 ≤ 420

• 20.59 + 0.06X ≤ 420

• 20.59X + 0.06 ≤ 420

• 20.59X + 0.06(150) ≤ 420