Graphing Systems of Inequalities on the TI-84 Plus CE

This video tutorial demonstrates how to graph systems of linear inequalities using the TI-84 Plus CE graphing calculator. It covers turning on the calculator, accessing the Y= screen, and changing the equal sign to an inequality symbol. The tutorial includes examples of graphing two systems of inequalities, explaining the shading patterns and identifying solutions or lack thereof. The video concludes with a summary of the process and emphasizes the importance of understanding the graphical representation of inequalities.

What is the first step in graphing a system of linear inequalities on the TI-84 Plus CE calculator?

• Enter the equations directly

• Adjust the screen brightness

• Turn on the calculator and go to the Y= screen

• Reset the calculator

What should you do if your calculator only puts a box around the equal sign when trying to change it to an inequality symbol?

• Check the video on how to turn on inequality graphing

• Restart the calculator

• Press the clear button

• Update the calculator software

Which inequality symbol is used in the first example graph?

• Not equal to

• Equal to

• Greater than or equal to

• Less than

What type of shading represents 'y is greater than or equal to 5' on the graph?

• Horizontal lines

• Solid fill

• Vertical bars

• Diagonal stripes

How is the overlapping shading displayed on the calculator?

• As solid fill

• As cross hatching or little squares

• As diagonal stripes

• As dotted lines

What is the second inequality graphed in the first example?

• y is not equal to 3x + 1

• y is less than 3x + 1

• y is greater than 3x + 1

• y is equal to 3x + 1

What is the result when graphing 'y is greater than or equal to x + 1' and 'y is less than x - 1'?

• Overlapping shading

• No overlapping shading

• Diagonal stripes

• Solid fill

Why is there no overlapping shading in the second example?

• The slopes of the lines are the same but the y-intercepts are different

• The y-intercepts are the same

• The lines are perpendicular

• The slopes of the lines are different

What does the absence of overlapping shading indicate in the second example?

• A single solution

• A solution exists

• No solution exists

• Infinite solutions

What is the final step after graphing the inequalities on the calculator?

• Turn off the calculator

• Clear the calculator memory

• Replicate the graph on paper or choose the correct option on the computer

• Save the graph