SOLVING COMPOUND INEQUALITIES ON THE TI 83/84
To access special functions:
For inequality symbols hit 2nd then the MATH key
For the connectors and/or hit 2nd then the MATH function and move right to choose LOGIC
To eliminate connecting segments that are not part of the solution hit the MODE KEY Then change from CONNECTED to DOT.
To be able to see the line y=0, either go to y= and move to the left of y=and hit the ENTER key until a heavy line is displayed (enter once) or go to 2nd ZOOM and choose Axes off.
1. On the Home screen enter the sentence 2>3 and ENTER. The result will be 0 which indicates the sentence is false.
Enter 3>2, then ENTER. This time the result will be 1 because the sentence is true.
Enter the sentence 2>3 OR 4>3 and ENTER. The result is 1. (TRUE)
Enter 2>3 AND 4>3 and ENTER. The result is 0. (False)
2. Hit the y key and enter x > 2 AND x>5. Then hit GRAPH. The graph will be a horizontal line y=1for all the values of x for which the sentence is TRUE and a horizontal line y=0 for all values of x for which the sentence is FALSE.
Enter 2nd and the WINDOW key to set up a Table. Choose a value to display first in the table and what you want the change in values for the input to be. (OR choose the ASK MODE for the Independent variable and put in values you want to check directly. Choose 2nd Graph to look at a Table. If y= 1 for a given x value, that value makes the compound sentence true. If they = 0 for a given input, that input makes the sentence false.
As Texas Instruments develops newer models of the graphing calculators, some of the requirements for obtaining the correct graph changes. Newer models do not need to be changed to DOT mode as the calculator has been updated to no longer try to connect parts of a graph that should not be connected. It is always necessary to write the parts of the compound sentence with x on the left side.
For instance -2 <x <5 must be entered as x>-2 AND x < 5.
Challenge: Solve -6 < x <1 or -2 < x < 6
-6 < x < 1 and -2 < x < 6
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James Madison University
Department of Mathematics and Statistics
540-568-6184
fitzgewj@jmu.edu
www.math.jmu.edu
Dr. Jeanne Fitzgerald
Associate Professor of Mathematics
Department of Mathematics & Statistics
James Madison University
Harrisonburg, VA 22807
email: fitzgewj@jmu.edu
Telephone: 540-568-3802
This page was last updated 07/05/2007