Inequalities and Their Interpretations

Miss Lee introduces writing inequalities to represent real-world situations, similar to equations. She explains steps to define variables, write inequalities, and solve them. Examples include spending limits at a mall and a game at the State Fair. Practice problems are provided for further understanding.

What is the primary focus of writing inequalities?

• To graph linear functions

• To calculate exact values

• To represent real-world situations

• To solve complex equations

What is the purpose of using inequalities in real-world situations?

• To represent constraints

• To simplify calculations

• To estimate values

• To find exact solutions

What is the first step in writing an inequality?

• Solve the inequality

• Graph the inequality

• Define the variable

• Combine expressions

Which of the following is a clue word for inequalities?

• At most

• Equal to

• Approximately

• Exactly

What does the term 'at most' imply in an inequality?

• Greater than

• Less than

• Less than or equal to

• Equal to

How do you determine the direction of the inequality sign?

• By the variable

• By the equation

• By the constant

• By the clue words

What is the purpose of graphing inequalities?

• To visualize solutions

• To find exact solutions

• To estimate values

• To simplify calculations

What does the term 'no more than' imply in an inequality?

• Greater than

• Less than or equal to

• Less than

• Equal to

In the mall spending example, what does the variable M represent?

• Total budget

• Money spent on lunch

• Money left to spend

• Total money spent

What is the inequality statement for the mall spending example?

• M + 7 ≤ 40

• M + 7 ≥ 40

• M + 7 < 40

• M + 7 > 40