Graphing Inequalities on a Number Line

The video tutorial explains how to graph inequalities on a number line. It introduces the concept of inequalities, discusses the different inequality signs, and demonstrates how to graph each type using the number 2 as an example. The tutorial covers graphing x equals 2, x less than or equal to 2, x less than 2, x greater than or equal to 2, and x greater than 2. It also explains the importance of open and closed circles in graphing and concludes with a discussion on variable positions in inequalities.

What is the main objective of the lesson on graphing inequalities?

• To learn about functions

• To graph the set of solutions to an inequality

• To solve equations

• To understand algebraic expressions

Which of the following is NOT an inequality sign discussed in the video?

• Equal to

• Greater than

• Less than or equal to

• Not equal to

How is x equals 2 represented on a number line?

• A shaded line to the right of 2

• A shaded line to the left of 2

• A closed circle at 2

• An open circle at 2

What does a closed circle on a number line indicate?

• The value is not included

• The value is included

• The value is greater than

• The value is less than

How is x less than 2 represented on a number line?

• A closed circle at 2 and shading to the right

• An open circle at 2 and shading to the left

• A closed circle at 2 and shading to the left

• An open circle at 2 and shading to the right

What does an open circle on a number line indicate?

• The value is less than

• The value is greater than

• The value is not included

• The value is included

How is x greater than or equal to 2 represented on a number line?

• A closed circle at 2 and shading to the right

• An open circle at 2 and shading to the right

• A closed circle at 2 and shading to the left

• An open circle at 2 and shading to the left

How is x greater than 2 represented on a number line?

• A closed circle at 2 and shading to the right

• An open circle at 2 and shading to the right

• An open circle at 2 and shading to the left

• A closed circle at 2 and shading to the left

Which of the following is equivalent to x is greater than 2?

• 2 is greater than x

• 2 is less than x

• x is less than 2

• x is equal to 2

How can you verify the correctness of shading on a number line?

• By checking the endpoint

• By testing a point within the shaded region

• By counting the number of shaded points

• By comparing with another graph