Texas instruments TI-83 PLUS inequality graphing
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Getting Started
Start here
How To…
Start and quit Inequality Graphing
Define an inequality or equation
Shade the inequality intersection or union
Examples
Defining an inequality or equation in the Y= editor
Defining an inequality or equation in the X= edit or
Exploring non-linear functions with Pol-trace
More Infor m a t ion
Storing Coordinates Warning Messages
Error Recovery Customer Support
10/23/01 © 2000, 2001 Texas Instruments
Important Information
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implied, including but not limited to any implied warranties of
merchantability and fitness for a particular purpose, regarding
any programs or book materials and makes such materials
available solely on an “as-is” basis.
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Instruments, regardless of the form of action, shall not exceed
the purchase price of this product. Moreover, Texas Instruments
shall not be liable for any claim of any kind whatsoever against
the use of these materials by any other party.
This graphing product application (APP) is licensed. See the
terms of the license agreement
.
Copyright © 2000, 2001 Texas Instruments Incorporated.
Inequality Graphing for the TI-83 Plus Page 2
What is Inequality Graphing?
The Inequality Graphing application for the TI-83 Plus gives you
new features for graphing equations and inequalities and
evaluating the relationship between them. Using the Inequality
Graphing application, you can
enter inequalities using relation symbols
•
graph inequalities and shade the union and intersection
•
regions
enter inequalities (vertical lines only) in an X=editor
•
trace points of interest (such as intersections) between
•
relations
store (x,y) coordinate pairs to lists for viewing and optimizing
•
functions for linear programming
Inequality Graphing is available in two different versions, English
only and international. The international version contains the
English version and also supports Dutch, French, German,
Portuguese, and Spanish. To run Inequality Graphing in a
language other than English, you must have the corresponding
language localization application installed and running on your
calculator. Language localization applications are available for
download free of charge in TI’s online store at epsstore.ti.com
.
Inequality Graphing for the TI-83 Plus Page 3
Where to Find Installation Instructions
You can find detailed instructions on installing Flash applications
at education.ti.com/guides
.
Inequality Graphing for the TI-83 Plus Page 4
Getting Started
1. Press to display the list of
applications on your calculator.
2. Select
Inequal
(or
Inequalz
in the
international version).
The Inequality Graphing splash screen is
displayed.
Getting Started is a fast-paced introduction that shows you some
of the Inequality Graphing application’s features.
Maximize profit, P = 3X + 2Y, for quantities of two products, X
and Y, given the following constraints on materials and time:
X
0, Y |0
|
Y + X
3X + Y
10
15
{
Inequality Graphing for the TI-83 Plus Page 5
3. Press any key. The
Y= Editor
screen is
displayed.
Note that placing the cursor on = for any
Y-variable displays the new relation symbols
at the bottom of the s creen.
Press
plus ^–
b
to insert a
relation symbol.
^ _ ` a b
4. Press
`
to select .
5. Move the cursor to the right of the
relation symbol.
6. Press
À Ê ¹ to store
10Nx
to
Y
1
.
7. Enter the relations for
Y
2
and
Y
3
, as
shown.
Inequality Graphing for the TI-83 Plus Page 6
8. Move the cursor to X=(in the top left
corner).
9. Press
Í to access the X=editor.
10. Press b to select .
11. Press Ê to store the value to
X
1
.
12. Press p to set up the graphing
window.
13. Change the
Xmin, Xmax, Ymin
, and
Ymax
settings as shown.
14. Press s to graph the selected
X
n
and
Y
n
variables.
Shades, PoI-Trace and ? (help) options
display when the graph is drawn.
Press
plus
^Nb
to select an
option.
^
or
_ `
or
a b
Inequality Graphing for the TI-83 Plus Page 7
15. Press
ãF1ä
to display the
SHADES
menu.
16. Select
1:Ineq Intersection
.
Inequality Graphing draws the graph
again, shading the intersection region
of the inequalities.
17. Press
`
to select the
PoI-Trace option. The first point of
interest is displayed.
The coordinates of the point of interest are
displayed at the bottom of the screen. The
X-variables and Y-variables that are a part of
the intersection are displayed in the top left
corner (in this case
Y
1
and
Y
2
).
Press
}
or to move from one
X
n
or
Y
n
to
the next. Press ~or |to move from one
point to another along the same
X
n
or
Y
n
.
Inequality Graphing for the TI-83 Plus Page 8
18. Press
;
to append the coordinates
for the point at your cursor position to
the lists
L
INEQX
(x-coordinate) and
L
INEQY
(y-coordinate).
19. Press any key to continue.
20. Find and store the remaining points
that bound the shaded region.
21. Press .
22. From the
Edit
menu, select
1:Edit
.
Inequality Graphing for the TI-83 Plus Page 9
23. Insert a new list named
PRFT
.
24. Add the formula for maximum profit,
"3 * LINEQX + 2 * LINEQY":
Press
ƒ
ã"ä
 ¯ y 9
.
Scroll to LINEQX.
Press
Í
to select it.
Press
à Á ¯ y 9
.
Scroll to LINEQY.
Press
Í
to select it.
Press
ƒ
ã"ä
.
The highest value in
PRFT
provides the
corresponding x (
L
INEQX
) and y (
L
INEQY
)
values to maximize the profit.
Inequality Graphing for the TI-83 Plus Page 10
Starting and Quitting the Inequality Graphing
Note
To select a menu option, press the number or letter
corresponding to the option or press to highlight the option,
then press
E
.
Note
Quitting the application does not delete it from your calculator. To
delete the application, see Deleting Inequality Graphing from the
TI-83 Plus.
1. Press
to display the list of
applications on your calculator.
2. Select
Inequal
(or
Inequalz
in the
international version). The Inequality
Graphing information screen is
displayed.
Application
The Inequality Graphing application works only in function mode.
If your calculator is not in function mode, the application changes
the mode.
To run the Inequality Graphing application efficiently, your
calculator should have at least 600 bytes of free RAM.
Inequality Graphing for the TI-83 Plus Page 11
3. Press any key. The
Y= Editor
screen is
displayed with the cursor on the =for
Y
1
.
Choose
To
1:Continue
Leave the Inequality Graphing
application active
2:Quit Inequal
Deactivate the Inequality
Graphing application
3:About
View the About screen that
displays the application name
and version number
If the Inequality Graphing application is already running on your
calculator, the above screens will not be displayed when you
select
Applications
Inequal
(or
Inequalz
menu. Instead, the following screen is displayed,
giving you options to quit the application or to continue (leave it
running).
Select one of the following options:
in the international version) from the
Inequality Graphing for the TI-83 Plus Page 12
A Word About AppVars
The Inequality Graphing application creates two application
variables (AppVars) when you run it. These AppVars are used to
store data specific to this application and to make graphing
faster.
INEQVAR requires 237 bytes of free RAM. The Inequality
•
Graphing application requires INEQVAR to function correctly.
If your calculator does not have at least 237 bytes of free
RAM, you cannot run the Inequality Graphing application.
POILIST requires 317 bytes of free RAM. The Inequality
•
Graphing application does not require POILIST to function
correctly. However, if your calculator does not have an
additional 317 bytes of free RAM so that POILIST can be
created, performance will be much slower.
INEQVAR and POILIST are automatically deleted from the
calculator’s memory when you quit Inequality Graphing normally
(from the
quit by the system, (for example, if you delete the application
manually, or if you transfer files while the application is running
and the calculator is defragmented) the AppVars remain on the
calculator, but are no longer active.
menu option). If Inequality Graphing is forced to
Quit
Inequality Graphing for the TI-83 Plus Page 13
Y= Editor and X= Editor
When you place the cursor over the equality symbol on the
Y= editor, you immediately see some of the features the
Inequality Graphing application offers. A set of relation options is
displayed across the bottom of the screen. You can use any
inequality symbol (>, <,
(These options are displayed only when the cursor is over the
relation symbol.)
The Inequality Graphing application has an X=editor to
complement the Y=editor. You access it from the Y=editor and
you can move between the two editors as much as you like. A
highlighted
or Y= in the top left corner of the screen reminds
X=
you that you defined and selected equations or inequalities on
the other editor.
On the X= editor, an expression must evaluate to a real number.
You can use any constant function of
whether they are equations or inequalities.
) as well as the equality symbol.
|, {
to define vertical lines,
X
Inequality Graphing for the TI-83 Plus Page 14
Relation Symbols
Relation Symbol
Keystrokes
^
_
`
a
b
To change a relation symbol, place the cursor on the symbol for
that
Y
appropriate symbol.
Graph Styles
In the Y=editor, the graph style for inequalities corresponds to
the inequality and automatically changes when you select the
symbol. You cannot change this graph style. The graph style for
equations remains unchanged. You can change the graph style
to one of the seven standard TI
or
í
or
n
and use the keystrokes below to select the
X
n
83 Plus options: ç, è, é, ê, ë, ì,
-
Inequality Graphing for the TI-83 Plus Page 15
In the X=editor, all graph styles are automatically selected and
Note
When you quit the Inequality Graphing application normally, all
inequality graph styles are changed to the thin line graph style (ç).
Inequality
Graph
Style
Relation
Symbol
Definition
Result
<
Less than
Graph is shaded below the line,
but the line is not included in the
solution, so it appears “dotted”
Less than or
equal to
Graph is shaded below the line
and the line is included in the
solution
>
Greater than
Graph is shaded above the line,
but the line is not included in the
solution, so it appears “dotted”
Greater than
or equal to
Graph is shaded above the line
and the line is included in the
solution
cannot be changed. Inequalities have a graph style that
corresponds to the inequality; equations have the thin line graph
style (
ç).
Inequality Graphing for the TI-83 Plus Page 16
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