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Exercice 16
   On simplifie et on détermine la frontière :

                                   3x − 2y ≥ 4y − 5
                                   3x − 6y ≥ −5
                       frontière : 3x − 6y = −5
                                      −6y = −3x − 5
                                            x 5
                                        y= +
                                            2 6
   On teste un point, par exemple (0 ;0)

                      3 × 0 − 6 × 0 = 0 ≥ −5 → Oui

   Donc la partie du plan contenant le point (0 ;0) est solution de
   l’inéquation
Exercice 16 (suite..)
                                y
                                     3x − 6 y = −5


                               5/6



                        -5/3                    x

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Ch08 16

  • 1. Exercice 16 On simplifie et on détermine la frontière : 3x − 2y ≥ 4y − 5 3x − 6y ≥ −5 frontière : 3x − 6y = −5 −6y = −3x − 5 x 5 y= + 2 6 On teste un point, par exemple (0 ;0) 3 × 0 − 6 × 0 = 0 ≥ −5 → Oui Donc la partie du plan contenant le point (0 ;0) est solution de l’inéquation
  • 2. Exercice 16 (suite..) y 3x − 6 y = −5 5/6 -5/3 x