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CASIO

User´s Guide

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Inequality Calculations (INEQ)

You can use the following procedure to solve a quadratic inequality or cubic inequality.


1. Press (INEQ) to enter the INEQ Mode.

2. On the menu that appears, select an inequality type.

To select this inequality type: Press this key:
Quadratic inequality (aX2 + bX + c)
Cubic inequality (aX3 + bX2 + cX + d)

3. On the menu that appears, use keys through to select the inequality symbol type and orientation.

4. Use the Coefficient Editor that appears to input coefficient values.

To solve x2 + 2x - 3 < 0, for example, input the coefficients a = 1, b = 2, c = -3 by pressing 123.

To change a coefficient value you already have input, move the cursor to the appropriate cell, input the new value, and then press .

Pressing will clear all of the coefficients to zero.

Note: The following operations are not supported by the Coefficient Editor: , (M-), (STO). Pol, Rec, ÷R, and multi-statements also cannot be input with the Coefficient Editor.

5. After all the values are the way you want, press .

This will display the solutions.

To return to the Coefficient Editor while the solutions are displayed, press .


Note

Values cannot be converted to engineering notation on the solution screen.


Changing the Inequality Type

Press (INEQ) and then select an inequality type from the menu that appears. Changing the inequality type causes the values of all Coefficient Editor coefficients to change to zero.


INEQ Mode Calculation Examples

Example 1: x2 + 2x - 3 < 0   (MthIO-MathO)

  • (INEQ)(aX2 + bX + c)
  • (aX2 + bX + c < 0)
  • 123

Example 2: x2 + 2x - 3 ≧ 0   (MthIO-MathO)

  • (INEQ)(aX2 + bX + c)
    (aX2 + bX + c ≧ 0)
    123
  • Note: Solutions are displayed as shown here when Linear Display is selected.

Example 3: 2x3 - 3x2 ≧ 0   (MthIO-MathO)

  • (INEQ)(aX3 + bX2 + cX + d)
    (aX3 + bX2 + cX + d ≧ 0)
    23

Example 4: 3x3 + 3x2 - x > 0   (MthIO-MathO)

  • (INEQ)(aX3 + bX2 + cX + d)
    (aX3 + bX2 + cX + d > 0)
    331
  • Note: Solutions are displayed as shown here when Linear Display is selected.

Special Solution Display

"All Real Numbers" appears on the solution screen when the solution of an inequality is all numbers.

Example: x2 ≧ 0    (MthIO-MathO)

  • (INEQ)(aX2 + bX + c)
    (aX2 + bX + c ≧ 0)
    100

"No-Solution" appears on the solution screen when no solution exists for an inequality (such as X2 < 0).

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