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Kelas : X SMAMapel : Matematika Wajib
Bab : Nilai Mutlak
Indikator : Pertidaksamaan Nilai Mutlak
Langkah Penyelesaian dan Jawaban :
- Gunakan sifat |f(x)| > a, maka f(x) > a, atau f(x) < - a. Dan, jika |f(x)| ≤ a, maka f(x) ≤ a, atau f(x) ≥ - a.
a). |3x + 2| > 5
3x + 2 > 5
3x > 5 - 2
3x > 3
x > 1
3x + 2 < - 5
3x < - 5 - 2
3x < - 7
x < - 7/3
HP = {x | < - 7/3 atau x > 1, x ∈ R}
b). |2x - 3| ≤ 1
2x - 3 ≤ 1
2x ≤ 1 + 3
2x ≤ 4
x ≤ 2
2x - 3 ≥ - 1
2x ≥ - 1 + 3
2x ≥ 2
x ≥ 1
Kombinasikan :
HP = {x | 1 ≤ x ≤ 2, x ∈ R}