Understanding Graphing Inequalities

The video tutorial explains how to graph the inequality x < 4 on a number line. It begins by drawing a number line from -4 to 5 and then demonstrates how to represent values less than 4 by drawing a circle around 4 and shading the line below it. The tutorial emphasizes that 4 is not included in the solution set and provides examples of values that satisfy the inequality.

What is the first step in graphing the inequality x < 4?

• Include 4 in the graph

• Draw a circle around 4

• Shade the number line

• Draw a number line

Which numbers should be marked on the number line for x < 4?

• Only positive numbers

• Numbers from 0 to 5

• Numbers from -4 to 5

• Only negative numbers

How do you indicate that 4 is not included in the graph?

• Use a different color for 4

• Draw a circle around 4

• Draw a solid dot at 4

• Shade the number line

What does shading the number line below 4 represent?

• Including 4 in the graph

• Values equal to 4

• Values greater than 4

• Values less than 4

Why is 4 not included in the graph of x < 4?

• Because 4 is equal to 4

• Because 4 is less than 4

• Because 4 is not a number

• Because 4 is greater than 4

Which of the following values is included in the graph of x < 4?

• 5

• 4

• 3

• 6

What is the purpose of testing values on the number line?

• To check if 4 is included

• To verify the shading is correct

• To find the midpoint

• To ensure values are less than 4