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Verified answer
Mapel : MatematikaKelas : X SMA
Materi : Pertidaksamaan Nilai Mutlak
Pembahasan :
|4x - 2| < 10
(4x - 2)² < 10²
(4x - 2)² - 10² < 0
(4x - 2 + 10)(4x - 2 - 10) < 0
(4x + 8)(4x - 12) < 0
-2 < x < 3
Hp : {-2 < x < 3, x € R}
Verified answer
|4x - 2| < 10-10 < 4x - 2 < 10
-10 + 2 < 4x - 2 + 2 < 10 + 2
-8 < 4x < 12
-8 ÷ 4 < 4x ÷ 4 < 12 ÷ 4
-2 < x < 3
Himpunan Penyelesaian = { -2 < x < 3}