Representing Inequalities on a Number Line

This video tutorial explains how to represent the solution set of an inequality using a number line. It covers the basics of inequalities, variables, and symbols, and demonstrates how to use open and closed circles to represent different types of inequalities. The tutorial also highlights common mistakes to avoid when working with inequality symbols. Finally, it provides a step-by-step guide to creating a number line for the inequality 'X is greater than two', including writing it in words, identifying the type of circle, and determining the shading direction.

What does an open circle on a number line indicate about the variable?

• The variable is greater than or equal to the value.

• The variable is not equal to the value.

• The variable is equal to the value.

• The variable is less than or equal to the value.

Which symbol is used to represent a variable that could be equal to a value?

• Star symbol

• Open circle

• Closed circle

• Greater than symbol

What is the first step in representing an inequality on a number line?

• Choose a variable

• Shade the number line

• Write the inequality in words

• Identify the type of circle

When shading a number line for the inequality X > 2, which direction should you shade?

• No shading is needed

• Both directions

• To the right

• To the left

What type of circle is used for the inequality X ≥ 2?

• Star symbol

• Open circle

• Closed circle

• No circle