Rational inequalities – Sharp EL-9900 User Manual

Page 73

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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.

Solve the inequality

≤ 2 using the intersection method with shading,

by first pressing Y= CL to clear the Y1 prompt.

2.

Enter the left-hand side of the inequality in Y1 by pressing MATH B (NUM)

1 (abs) pressing a/b X/

θ/T/n

1 – X/

θ/T/n x

2

ENTER . Enter 2

in Y2 by pressing 2 ENTER .

3.

Press 2ndF DRAW G (SHADE) 1 (SET) 2ndF VARS A ENTER 1 (Y1)

2ndF VARS ENTER 2 (Y2).

4.

View the graph by pressing ZOOM A (ZOOM) 7 (Dec).

5.

Press 2ndF CALC 2 (Intsct) repeatedly, to locate the x-values of the

points of intersection, x = -1.281, -0.781, 0.781, and 1.281. The solution is all

values of x such that x

≤ -1.281 or -0.781 ≤ x ≤ 0.781 or x ≥ 1.281.

6.

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

RATIONAL INEQUALITIES

x

(1 – x

2

)

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