Question

Soal math
kasih jalan yaa....☆5

Answer 1

Verified answer

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