Understanding and Solving Inequalities

This video tutorial explains how to write and solve inequalities to address real-world problems. It outlines a step-by-step procedure: defining variables, writing inequalities, and solving them. The video includes examples such as comparing savings, calculating profits, determining test scores, and evaluating combined savings. Each example demonstrates how to apply inequality symbols and solve for unknowns. The tutorial concludes with a challenge problem for students to practice.

What is the first step in solving real-world inequality problems?

• Define the variables

• Write the inequality

• Solve the inequality

• Choose the inequality symbol

Which inequality symbol is used when a number is described as 'at least'?

• Greater than or equal to

• Less than or equal to

• Greater than

• Less than

In the example with Tony and Kayla, what does the variable 'M' represent?

• The total savings

• The number of months

• The amount of money saved

• The difference in savings

How many months will it take for Kayla to have at least as much money as Tony?

• 10 months

• 11 months

• 12 months

• 13 months

What is the cost to develop and market a new car model for Chevy?

• $25 million

• $20 million

• $10 million

• $15 million

How many cars must Chevy sell to make a profit greater than $5 million?

• 1,000 cars

• 1,001 cars

• 1,002 cars

• 1,003 cars

What average score does Micah aim to exceed on her tests?

• 95

• 100

• 90

• 85

What score does Micah need on her next test to achieve her goal?

• 98

• 100

• 97

• 99

How much money does Nancy start with?

• $600

• $500

• $400

• $300

After how many days will Nancy and Gwen have more than $800 together?

• 33 days

• 32 days

• 31 days

• 30 days