- This tutorial teaches how to graph linear inequalities on a TI-Nspire app by showing how to: create a graph window, input inequalities of the form y>mx, y>mx+b, y≤mx, and y≤mx+b. It demonstrates how changing the slope, y-intercept, or direction of inequality affects the graph. It concludes by graphing two inequalities at once.

1. TI-Nspire App Tutorial
Graphs of Linear Inequalities

2. Summary
• In this tutorial, you’ll explore the graphs of
Linear Inequalities. The steps in the tutorial
include:
– Creating a Graph Window.
– Graphing Linear Inequalities:
y > mx
y > mx + b
y £ mx
y £ mx + b

3. Create a Graph Window
Click on the +tool to activate this menu.

4. Input the Inequality
Press the Delete key to remove the equals
sign. A menu of Inequalities comes up.

5. Input the Inequality
Input the inequality shown. Press Enter.
f1(x) = x

6. Graph the Inequality
This is the basic graph of a Linear Inequality.

7. Edit the Inequality
Click on the + sign at the upper right to bring up the
Function Entry line. Then press the up arrow. You’ll see
the inequality.
Click
here.
Then
Click
here.

8. Edit the Inequality
Change the inequality to the one shown above.
Then press Enter.

9. Edit the Inequality
Note the change in the graph of the inequality.

10. Edit the Inequality
Now change the inequality to the one shown above.
Press Enter. A greater slope value leads to a steeper
graph.
y £ 3x

11. Edit the Inequality
Now change the inequality to the one shown above.
Press Enter. Note how the y-intercept displaces the
graph vertically.
y ³ x +1

12. Edit the Inequality
Now change the inequality to the one shown above.
Press Enter. Note how the y-intercept displaces the
graph vertically.
y £ x -1

13. Graph a Second Inequality
Now change the Inequality to the one shown above. In
addition, graph a second inequality.
y < -3x + 2
y > 2x +1