Graphing Inequalities on a Number Line

Mrs. Frel introduces inequalities on a number line, explaining symbols like less than, greater than, and their combinations with equal to. She demonstrates how to graph these inequalities using filled and empty circles to indicate whether a number is included. The lesson includes examples and exercises matching sentences to graphs, reinforcing the concept of inequalities and their representation on a number line.

What symbol represents a value less than another?

• <

• >

• >=

• <=

How is 'X is less than 2' represented on a number line?

• Filled circle on 2

• Empty circle on 2

• Empty circle on 1

• Filled circle on 1

What does a filled circle on a number line indicate?

• The number is not included in the set

• The number is the only value in the set

• The number is included in the set

• The set is empty

If 'Y is greater than or equal to 2', how is it graphed?

• Empty circle on 2 moving right

• Filled circle on 2 moving left

• Filled circle on 2 moving right

• Empty circle on 2 moving left

Which inequality sign points in the same direction as the arrow on a number line?

• Not equal to

• Equal to

• Greater than

• Less than

If a graph starts at 7 with a filled circle and moves left, what does it represent?

• At least 7 units

• Less than 7 units

• More than 7 units

• Exactly 7 units

What does an empty circle at 7 indicate in a real-world scenario?

• 7 units or more

• Exactly 7 units

• More than 7 units

• Less than 7 units

How is 'spent more than $7' graphically represented?

• Empty circle at 7 moving left

• Filled circle at 7 moving left

• Filled circle at 7 moving right

• Empty circle at 7 moving right

What does a filled circle at 7 moving right indicate?

• More than 7 units but not 7

• 7 units or more

• Exactly 7 units

• Less than 7 units

In the context of rain, what does an empty circle at 7 signify?

• It rained more than 7 inches

• It rained exactly 7 inches

• It rained 7 inches or more

• It rained less than 7 inches