EL-9650/9600c/9450/9400 Graphing Calculator

System of Two-Variable Inequalities

The solution region of a system of two-variable inequalities consists of all points (a, b) such that when x = a and y = b, all inequalities in the system are true. To solve two-variable inequalities, the inequalities must be manipulated to isolate the y variable and enter the other side of the inequality as a function. The calculator will only accept functions of the form y = . (where y is defined explicitly in terms of x).

Example

Solve a system of two-variable inequalities by shading the solution region. 2x + y ≥ 1

x 2 + y ≤ 1

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.

Set the zoom to the decimal window:

ZOOM A * (

ENTER 2nd F

)

*

7

Step & Key Operation

Display

Notes

(When using EL-9650/9600c)

(When using EL-9650/9600c)

 

*Use either pen touch or cursor to operate.

 

 

1Rewrite each inequality in the system so that the left-hand side is y :

2Enter y = 1 - 2x for Y1 and y = 1 - x 2 for Y2.

Y= 1 — 2 X//T/n ENTER *

1 — X//T/n x 2

3Access the set shade screen

2nd F DRAW G *

1*

4Shade the points of y -value so that Y1 ≤ y ≤ Y2.

—— —

** *

5Graph the system and find the intersections.

GRAPH

2nd F CALC 2 * 2nd F CALC 2 *

6Solve the system.

2x + y ≥ 1 ➞ y ≥ 1 - 2x x 2 + y ≤ 1 ➞ y ≤ 1 - x 2

The intersections are (0, 1) and (2, -3)

The solution is 0 ≤ x ≤ 2.

Graphical solution methods not only offer instructive visualization of the solution process, but they can be applied to inequalities that are often difficult to solve algebraically. The EL-9650/9600c/9450/9400 allows the solution region to be indicated visually using the Shade feature. Also, the points of intersection can be obtained easily.

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Sharp EL-9400, EL-9600c, EL-9650 manual System of Two-Variable Inequalities, + y ≤
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EL-9650, EL-9600c, EL-9400 specifications

The Sharp EL-9400 and EL-9450 are advanced programmable scientific calculators designed for professionals and students alike. Renowned for their versatile functionality and user-friendly interface, these calculators are popular in the fields of engineering, mathematics, and the sciences.

One of the hallmark features of the EL-9400 and EL-9450 is their extensive range of built-in functions. These calculators allow users to perform a variety of mathematical operations, including basic arithmetic, statistical calculations, complex number operations, and calculus functions. They support both decimal and fraction calculations, making them suitable for diverse mathematical applications.

Both models come equipped with a large, easy-to-read display, enhancing user experience by allowing for clear visibility of numbers, symbols, and results. The display is particularly beneficial when working with extensive calculations or graphical representations, as it helps users track their inputs and outputs with ease.

The programmability of the EL-9400 and EL-9450 sets them apart from standard calculators. Users can create custom programs to automate repetitive calculations, save time, and increase efficiency during work or study sessions. This programmable capability is particularly advantageous for students tackling complex mathematical problems or professionals managing extensive data sets.

With their advanced graphing capabilities, these calculators allow users to plot functions and analyze their behavior over a defined range. The graphing feature is user-friendly, offering options to zoom in and out, providing a better understanding of mathematical concepts and aiding in visualization.

Another notable characteristic of the EL-9400 and EL-9450 is their robust memory function. These calculators can store multiple equations and values, enabling users to retrieve and re-use data without the need to re-enter it. This function is essential for tasks requiring multiple steps and intermediate values.

In terms of durability, the Sharp EL series is designed to withstand the rigors of academic and professional environments. These calculators are built with high-quality materials, ensuring longevity and reliability during extensive use.

Overall, the Sharp EL-9400 and EL-9450 stand out as powerful tools for anyone needing a reliable computing resource. Their combination of programmable features, comprehensive function sets, and user-friendly design makes them invaluable assets for students and professionals engaged in advanced mathematics and scientific calculations. With these calculators, users are equipped to tackle challenges and explore complex mathematical concepts with confidence.
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