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Systems of inequalities – Sharp EL-9900 User Manual

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14

Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900

Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.

1.

The solution region of a system of inequalities consists of all points (a, b)

such that when x = a and y = b, all inequalities in the system are true.

2.

For example, to graph the solution region for the system

2x + y

≥ 1

x

2

+ y

≤ 1,

first rewrite each inequality in the system so that the left-hand-side is y:

y

≥ 1 – 2x

y

≤ 1 – x

2

3.

Press Y= CL and enter 1 – 2X in Y1 and 1 – X

2

in Y2.

4.

Next, shade the points that have a y-value less than Y2 and greater than Y1.

Do this by pressing 2ndF DRAW G (SHADE) 1 (Set) 2ndF VARS A

ENTER

1 2ndF VARS ENTER 2 .

5.

Graph the system by pressing ZOOM A (ZOOM) 7 (Dec).

6.

Turn off the shading by pressing 2ndF DRAW G (SHADE) 2 (INITIAL).

SYSTEMS OF INEQUALITIES