Graphing Solution Region Of Inequalities - Sharp EL9600C - Graphing Calculator Handbook

Graphing Solution Region of Inequalities

The solution region of an inequality consists of all points (a, b) such that when x = a, and y = b,
all inequalities are true.
Example
Check to see if given points are in the solution region of a system of inequalities.
1.
Graph the solution region of a system of inequalities:
x + 2y 1
2
x + y 4
2.
Which of the following points are within the solution region?
(-1.6, 1.8), (-2, -5), (2.8, -1.4), (-8,4)
Before There may be differences in the results of calculations and graph plotting depending on the setting.
Start
Return all settings to the default value or to delete all data.
Step & Key Operation
(When using EL-9600)
*Use either pen touch or cursor to operate.
1
1
- Rewrite the inequalities so that the
left-hand-side is y.
1
1-x
2
-
Enter y = for Y1 and
2
2
y = 4 - x for Y2.
a /b
Y= 1 —
2 ENTER
*
1
3 Set the shade and view the solution
-
region.
1
2nd F DRAW G
*
— —
*
GRAPH
2
1
Set the display area (window) to :
-
-9 < x < 3, -6 < y < 5.
-
( ) 9
ENTER
WINDOW
-
( ) 6
ENTER
7-4
(When using EL-9600)
n
X/ /T/
n
2
x
4 — X/ /T/
—
* *
3
ENTER
5
ENTER ENTER
EL-9600/9400 Graphing Calculator
Display
x + 2y
2
x +y
Y2 y
Notes
1-x
1 y
2
2
4 y 4 - x
Y1