Matematika

Pertanyaan

Selesaikan dan tuliskan hp dari ptrlk x+2 per x-1 >3 (x+3 per x+1) -2

1 Jawaban

  • (x+2)/(x-1) > 3{(x+3)/(x+1)} - 2
    (x+2)/(x-1) > (3x+9)/(x+1) - 2(x+1)/(x+1)
    (x+2)/(x-1) > (3x+9)/(x+1) - (2x+2)/(x+1)
    (x+2)/(x-1) > (3x+9-2x-2)/(x+1)
    (x+2)/(x-1) > (x+7)/(x+1)
    (x+2)/(x-1) - (x+7)/(x+1) > 0
    {(x+2)(x+1) - (x+7)(x-1)} / (x-1)(x+1) > 0
    (x²+3x+2-x²-6x+7) / (x-1)(x+1) > 0
    (-3x+9) / (x-1)(x+1) > 0
    + + + - - - - - + + + - - - -
    -------•--------•--------•--------
    ``````` -1 ```````` 1 ```````` 3
    x < -1 atau 1 < x < 3

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