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Absolute value inequalities – Sharp EL-9900 User Manual

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Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900

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

1.

To solve the inequality |3.5x + 4|

≥ 10, press Y= CL to clear the Y1

prompt. Press ENTER CL to clear additional prompts.

2.

Enter the function |3.5x + 4| in Y1 by pressing MATH B (NUM)

1 (abs) 3 • 5 X/

θ/T/n + 4 ENTER . Enter 10 in Y2 by pressing

1 0 .

3.

Access the Set Shade screen by pressing 2ndF DRAW G (SHADE) 1

(SET). Since Y2 is the function "on the bottom," press 2ndF VARS A

ENTER 2 (Y2) and since Y1 is the function "on the top," press 2ndF

VARS ENTER 1 (Y1).

4.

Set the viewing window by pressing ZOOM A (Zoom) 5 (Default). Press

ZOOM 4 (out) to see the intersection.

5.

Press 2ndF CALC 2 (Intsct) to locate a point of intersection. Repeat to

find the other. The intersections are (-4, 10) and (1.714, 10). The solution of

the inequality |3.5x + 4| > 10 is all values of x such that x

≤ -4 or x ≥ 1.714.

6.

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

ABSOLUTE VALUE INEQUALITIES