Matematika

Pertanyaan

3/x-5 kurang dari -5/x-3

1 Jawaban

  • 3 / x-5 < -5 / x-3
    3 / x-5 - {-5 / x-3} < 0
    {3(x-3) + 5(x-5)} / (x-5)(x-3) < 0
    (3x-9+5x-25) / (x-5)(x-3) < 0
    (8x-34) / (x-5)(x-3) < 0
    8x - 34 = 0
    8x = 34
    x = 34/8 = 4¼
    x - 5 = 0
    x = 5
    x - 3 = 0
    x = 3
    - - - - - + + + + - - - - - + + +
    --------•---------•--------•----------
    ``````````3 ``````` 4¼ ```````5
    x < 3 atau 4¼ < x < 5

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