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Casio TEAMS Grant Algebra Lessons XVI

Use the CASIO FX7400G to draw the feasibility region of the system of inequalities given below and find the integer values of the vertices:

y < 4

y < -2 x + 12

y > -2/3 x + 4

  1. Turn on the CASIO FX7400G.

  2. Use your cursor arrows to highlight the GRAPH menu and press or just press when at the main menu screen.
  3. Press (the more key).
  4. Press (the more key).
  5. Press ( Y < ).
  6. In the Y1 slot enter the expression 4 and press
  7. In the Y2 slot enter the expression -2 X + 12 and press  
  8. Press (the more key).

    Press (the more key).

    Press ( Y > ).

    In the Y3 slot enter the expression -2/3 X + 4 and press
    (Make sure no other Y-slot is highlighted, i.e. selected for graphing.)
  9. Press (V-Window)
  10. Set up the viewing window as follows: 

    Xmin: 0    Ymin: -4.6
    max : 7.8  max :  4.6
    scl : 1    scl :  1
  11. Press
  12. Press   (DRAW)

    The graph of the inequality appears on the screen of the calculator.
     
  13. Press (Sketch)
  14. Press (Plot)

    Use your cursor arrows to move the "cross hairs" to the vertices of the shaded image on the calculatorŪs screen and note the x and y values displayed at the bottom of the screen.

    My answers are: (6, 0), (4, 4), and (0, 4).
     
  15. Press
  16. Highlight each inequality and de-select it by pressing or delete it by pressing  
  17. Press

Turn off the CASIO FX7400G.
(OFF)