x-1/x-2 < x+1/x+4 plisfdggh

Mapel : Matematika
Kelas : X SMA
Bab : Pertidaksamaan Pecahan

Pembahasan :
(x - 1)/(x - 2) < (x + 1)/(x + 4)
(x - 1)/(x - 2) - [(x + 1)/(x + 4) < 0
[(x - 1)(x + 4) - (x + 1)(x - 2)]/[(x - 2)(x + 4)] < 0
[(x² + 3x - 4) - (x² - x - 2)]/[(x - 2)(x + 4)] < 0
(4x - 2)/[(x - 2)(x + 4)] < 0

Hp : {x < -4 atau 1/2 < x < 2}