Solving Inequalities Using Inverse Operations

This lesson teaches how to solve inequalities using inverse operations. It begins with a review of key concepts such as variables and inequalities, emphasizing the importance of using correct inverse operations. The core lesson involves a practical problem where Debbie has a budget to buy clothes, and students learn to set up and solve an inequality to determine how many t-shirts she can purchase. The lesson concludes with a summary of the process of solving inequalities.

What does a variable represent in the context of inequalities?

• A mathematical operation

• A known number

• A fixed value

• A letter or symbol representing an unknown number

Which symbols are used when a value is not part of the solution set in inequalities?

• Equal to

• Greater than or equal to, or less than or equal to

• Not equal to

• Greater than or less than

What is a common mistake when solving inequalities?

• Not checking the solution set

• Forgetting to use variables

• Using the incorrect inverse operations

• Using the correct inverse operations

In the example of Debbie's budget, what does the inequality 8x ≤ 38 represent?

• The total amount Debbie can spend

• The cost of one t-shirt

• The total cost of jeans

• The maximum number of t-shirts Debbie can buy

How many t-shirts can Debbie buy if she has $60 to spend and each t-shirt costs $8?

• 4 t-shirts

• 5 t-shirts

• 6 t-shirts

• 3 t-shirts