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Verified answer
Materi: Pertidaksamaan H MutlakJawaban A
Verified answer
Mapel : MatematikaKelas : X SMA
Bab : Pertidaksamaan Mutlak
Pembahasan :
x|x| - 2 > x - 2 |x|
Sifat mutlak :
x.x - 2 > x - 2x
x² - 2 > x - 2x
x² + x - 2 > 0
(x + 2)(x - 1) > 0
x < -2 atau x > 1
x.x - 2 < -x + 2x
x² - 2 < x
x² - x - 2 < 0
(x - 2)(x + 1) < 0
-1 < x < 2
Gabungkan Hp nya...
Hp = {x| 1 < x < 2, x € R}