Matematika

Pertanyaan

Soal math
kasih jalan yaa....☆5
Soal math kasih jalan yaa....☆5

1 Jawaban

  • Bab Pertidaksamaan
    Matematika SMA Kelas X

    x/(x + 2) > (x - 1) / (x - 2)
    x/(x + 2) - (x - 1)/(x - 2)
    (x . (x - 2) - (x - 1) (x + 2))/((x + 2) (x - 2)) > 0
    (x² - 2x - (x² + x - 2)) / ((x + 2) (x - 2)) > 0
    (x² - 2x - x² - x + 2) / ((x + 2) (x - 2)) > 0
    (-3x + 2) / ((x + 2) (x - 2)) > 0

    -3x + 2 = 0
    -3x = -2
    x = 2/3

    x + 2 = 0
    x = -2

    x - 2 = 0
    x = 2


    ------------------------------------
        -2        0          (2/3)    2
    M  |         TM          |   M  |    TM

    x < -2 atau 2/3 < x < 2

    jawabannya C