Graphing Inequalities on a Number Line

The video tutorial covers graphing inequalities on a number line. It begins with an introduction to inequalities and their symbols, explaining the difference between open and closed circles. The tutorial then demonstrates graphing the inequality 2 < x, showing how to determine the direction of shading. Another example, x ≤ -3, is graphed with a closed circle, illustrating the inclusion of the endpoint. The lesson concludes with a recap of the steps for graphing inequalities, emphasizing the importance of identifying the correct circle type and shading direction.

What is an inequality?

• A relationship between two variables

• A relationship between two expressions that are not equal

• A relationship between two equal expressions

• A relationship between two numbers

What does a closed circle on a number line represent?

• The point is not included in the solution

• The point is included in the solution

• The point is an inequality

• The point is a variable

Which symbol represents 'less than or equal to'?

• <

• >

• ≤

• ≥

In the inequality 2 < x, why is the circle at 2 open?

• Because 2 is included in the solution

• Because 2 is equal to x

• Because 2 is not included in the solution

• Because 2 is greater than x

Which side of the number line is shaded for the inequality 2 < x?

• Neither side of 2

• Both sides of 2

• Right side of 2

• Left side of 2

For the inequality x ≤ -3, what type of circle is used at -3?

• Half circle

• No circle

• Closed circle

• Open circle

Which point is included in the solution for the inequality x ≤ -3?

• -2

• 0

• -3

• 3

Which side of the number line is shaded for the inequality x ≤ -3?

• Right side of -3

• Neither side of -3

• Left side of -3

• Both sides of -3

What is the first step in graphing an inequality?

• Shade the number line

• Pick two points

• Identify open or closed circle

• Substitute numbers

What is the final step in graphing an inequality?

• Shade the number line

• Substitute numbers

• Identify open or closed circle

• Pick two points