Sharp EL9900 manual + 2y ≤ 1 x 2 + y ≥, + 2y ≤ 1 y ≤ +y ≥ 4 y ≥ 4 x

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EL-9900 Graphing Calculator

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 x 2 + 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.

Starting

Return all settings to the default value and delete all data.

 

 

 

Step & Key Operation

Display

Notes

1-1

1-2

Rewrite the inequalities so that the left-hand side is y.

Enter y = 12-x for Y1 and y = 4 - x 2 for Y2.

Y= a/b 1 X//T/n

2 ENTER 4 X//T/n x2

x + 2y 1 y

1-x

 

2

x 2+y 4 y 4 - x 2

1-3Set the shade and view the solution

 

Y2 y Y1

 

region.

 

 

 

 

 

 

 

 

 

 

 

 

2nd F

 

DRAW

 

G

1

 

 

 

 

 

 

 

 

 

 

 

2nd F VARS A

ENTER A 2

GRAPH2nd F VARS

GRAPH

ENTER 1

2-1Set the display area (window) to : -9 < x < 3, -6 < y < 5.

WINDOW

ENTER

(-) 9

(-) 6

ENTER 3

ENTER 5

ENTER

ENTER

9-4

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Contents EL-9900 Contents Read this first Always read Before StartingUsing this Handbook IntroductionFractions and Decimals ExamplePie Charts and Proportions BeforeSlope and Intercept of Linear Equations 1Enter the equation y = x for Y2 Parallel and Perpendicular Lines 2View the graphs Slope and Intercept of Quadratic Equations 1Change the equation in Y2 to y = x 2+2 1Access the Solver feature This screen will appear a few 4Enter the values L=15,000, I=0.09, N=48 Access the Solver feature 10π 200 15 π1Access the Solver feature 5Solve for the height and enter a starting point Graphing Polynomials and Tracing to Find the Roots 1Move the tracer near the left-hand root Graphing Polynomials and Jumping to Find the Roots = x 4 + x 3 5x 2 3x +Find the next root Solving a System of Equations by Graphing or Tool Feature 1Access the Tool menu. Select the number of variables Entering and Multiplying Matrices 1Multiply the matrices a and B together at the home screen Solving a System of Linear Equations Using Matrices 2Calculate B-1C Solving Inequalities EL-9900 Graphing Calculator 2x 5 ≥ Solving Double Inequalities= 2x 5 = 2x 5 and y = 7 intersect at 6,7 2x + y ≥ + y ≤+ y ≤ + 2y ≤ 1 x 2 + y ≥ + 2y ≤ 1 y ≤ +y ≥ 4 y ≥ 4 xContinuing key operations omitted Slope and Intercept of Absolute Value Functions If x ≥3View the graph Solving Absolute Value Equations Solve an absolute value equation 5 4x =Solving Absolute Value Inequalities = 10, y =2nd F Calc 2 x = = 9.999999999 Note Evaluating Absolute Value Functions +3 1+3Math Graphing Rational Functions + 1x Solving Rational Function Inequalities Graphing Parabolas = y 2 + 2 = y = +√ x +Change to parametric mode 2x + y 2 + 4y = Graphing CirclesGraph x 2 2x + y 2 + 4y = 2x + y+22 =For Y1 = Y1 2 for Y2, and y = -Y1 -2 for Graphing Ellipses View the graph Graphing Hyperbolas Zoom out the screen Key pad for the Sharp EL-9900 Calculator Key pad for the Sharp EL-9900 Calculator Sharp Graphing Calculator Step Sharp Corporation OSAKA, Japan