Understanding Inequalities and Graphing

The video tutorial explains how to write and graph inequalities. It covers two examples: one for all real numbers greater than 1, using an open circle to indicate that 1 is not included, and another for all real numbers less than or equal to -3, using a closed circle to show that -3 is included. The tutorial demonstrates how to represent these inequalities on a number line with appropriate symbols and directions.

What symbol is used to represent numbers greater than a certain value?

• Greater than

• Less than

• Equal to

• Not equal to

How do you represent that a number is not included in the solution set on a graph?

• Dashed line

• Shaded region

• Open circle

• Closed circle

In the inequality x > 1, which direction does the arrow point on the graph?

• Left

• Down

• Right

• Up

What does the inequality x ≤ -3 represent?

• Numbers less than -3

• Numbers equal to -3

• Numbers less than or equal to -3

• Numbers greater than -3

How is the endpoint represented on the graph for x ≤ -3?

• Arrow

• Closed circle

• Open circle

• Dashed line

In the graph of x ≤ -3, which direction does the arrow point?

• Right

• Left

• Up

• Down