Inequalities and Number Line Representation

The video tutorial explains how to graph basic linear inequalities in one variable. It covers the use of open and closed circles to represent inequalities on a number line, with examples of graphing x < 3 and x ≥ -4. The tutorial highlights the importance of understanding the inequality symbols and how they affect the graph's representation.

What does the inequality x < 3 represent on a number line?

• All numbers greater than 3

• All numbers less than 3

• Only the number 3

• All numbers greater than or equal to 3

What type of circle is used to represent x < 3 on a number line?

• Open circle

• Closed circle

• Solid point

• Shaded circle

Why is an open circle used for x < 3?

• Because 3 is not included in the solution

• Because it represents all numbers less than or equal to 3

• Because 3 is included in the solution

• Because it represents all numbers greater than 3

In which direction does the arrow point for the inequality x < 3?

• Downwards

• To the right

• To the left

• Upwards

What does the inequality x ≥ -4 represent on a number line?

• All numbers less than -4

• All numbers greater than or equal to -4

• Only the number -4

• All numbers greater than -4

What type of circle is used to represent x ≥ -4 on a number line?

• Open circle

• Closed circle

• Dotted circle

• Hollow point

In which direction does the arrow point for the inequality x ≥ -4?

• To the left

• To the right

• Upwards

• Downwards