Solving Inequality Word Problems

The video tutorial explores the application of inequalities in real-world scenarios. It begins with an introduction to inequalities and related terminology, such as 'less than' and 'greater than'. The tutorial then presents four problems: Javier's financial management, Amy's craft fair sales, Emma's frozen yogurt cost comparison, and Peyton and Garrett's candy consumption. Each problem is solved using inequalities, demonstrating how to set up and solve these mathematical expressions in practical situations.

What is the primary focus of this tutorial?

• Calculating derivatives

• Solving equations

• Applications of inequalities

• Graphing functions

Which symbol is used for 'greater than'?

• ≥

• ≤

• >

• <

What does the term 'at most' signify in inequalities?

• Greater than

• Greater than or equal to

• Less than or equal to

• Less than

Javier has $500 and needs to keep a minimum of $50 in his account. His Netflix bill is $15 per month. How many months can he pay for Netflix without incurring charges?

• 20 months

• 35 months

• 30 months

• 25 months

What is the inequality representing Javier's Netflix subscription problem?

• 500 - 15m ≥ 50

• 500 + 15m ≤ 50

• 500 - 15m ≤ 50

• 500 + 15m ≥ 50

Amy needs to sell scarves to cover her costs of $175. She already has $49 and sells each scarf for $7. How many scarves does she need to sell?

• 15 scarves

• 18 scarves

• 25 scarves

• 20 scarves

What is the inequality representing Amy's scarf sales problem?

• 49 + 7x ≥ 175

• 49 + 7x ≤ 175

• 49 - 7x ≥ 175

• 49 - 7x ≤ 175

Froyos cost $0.50 plus $0.15 per ounce, and Very Cool Yogurts cost $0.10 plus $0.25 per ounce. After how many ounces will Froyos be cheaper?

• 4 ounces

• 3 ounces

• 2 ounces

• 5 ounces

What is the inequality representing the cost comparison between Froyos and Very Cool Yogurts?

• 0.50 + 0.15x ≤ 0.10 + 0.25x

• 0.50 + 0.15x > 0.10 + 0.25x

• 0.50 + 0.15x < 0.10 + 0.25x

• 0.50 + 0.15x ≥ 0.10 + 0.25x

What is the solution to the inequality 0.50 + 0.15x < 0.10 + 0.25x?

• x ≥ 4

• x ≤ 4

• x > 4

• x < 4