Matematika

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2 per x-3 > 3 per x+6 tlng jawab

2 Jawaban


  • [tex] \frac{2}{x - 3} > \frac{3}{x + 6} \\ \\ 2(x + 6) > 3(x - 3) \\ \\ 2x + 12 > 3x - 9 \\ \\ 2x - 3x > - 9 - 12 \\ \\ - x > - 21 \\ \\ x < 21[/tex]

    nice Rock
  • Kelas 10 Matematika
    Bab Persamaan dan Pertidaksamaan Linear

    2/(x - 3) > 3/(x + 6)
    2/(x - 3) - 3/(x + 6) > 0
    (2 (x + 6) - 3 (x - 3))/((x - 3) (x + 6)) > 0
    (2x + 12 - 3x + 9)/((x - 3) (x + 6)) > 0
    (-x + 21) (x - 3) (x + 6) > 0
    (x - 21) (x - 3) (x + 6) < 0
    x - 21 = 0
    x = 21

    x - 3 = 0
    x = 3

    x + 6 = 0
    x = -6

    .. - .. -6 ... + .. 3 .. - .. 21 ... +

    x < -6 atau 3 < x < 21

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