Representing Situations with Inequalities: Writing and Graphing

The video tutorial explains how to represent real-life situations using inequalities. It begins with an example of Grace spending more than $50 at the mall and introduces the concept of inequalities and variables. The tutorial covers how to write and graph inequalities, using open circles and shading to represent values. It addresses common misunderstandings, such as the placement of variables in inequalities, and concludes with a summary of the key points learned.

What does a variable represent in the context of inequalities?

• A known number

• A mathematical operation

• An unknown number or set of numbers

• A fixed value

How can we represent a number that is smaller than 3 using a variable?

• n < 3

• n > 3

• n ≥ 3

• n = 3

What is the correct inequality to represent Grace spending more than $50?

• m ≤ 50

• m < 50

• m = 50

• m > 50

In graphing the inequality m > 50, what does the open circle on the graph indicate?

• 50 is included in the set

• The graph is complete

• 50 is not included in the set

• The graph is incorrect

Which of the following is equivalent to the inequality m > 50?

• 50 > m

• m ≤ 50

• 50 = m

• 50 < m