materi tentang pertidaksamaan linear satu variabel tentukan Hp

Materi : Program Linear
Bahasan : Pertidaksamaan Linear

Langkah - langkah dan Jawaban
(1). 3x + 17 < 5x + 3
3x + 17 < 5x + 3
3x - 5x < 3 - 17
- 2x < - 14
x > 7
HP = {x | x > 7, x ∈ R}

(2). - 6 - 4x > - 9x + 24
- 6 - 4x > - 9x + 24
9x - 4x > 24 + 6
5x > 30
x > 6
HP = {x | x > 6, x ∈ R}

(3). - 7 ≤ - 3 - 3x < 2
- 7 ≤ - 3 - 3x < 2
- 7 ≤ - 3 - 3x
⇔ - 3 - 3x ≥ - 7
- 3x ≥ - 4
x ≤ 4/3
- 3 - 3x < 2
- 3x < 5
x > - 5/3
Kombinasikan :
HP = {x | - 5/3 < x ≤ 4/3, x ∈ R}

(4). 3 ≤ 2x - 7 < 5
3 ≤ 2x - 7 < 5
7 + 3 ≤ 2x - 7 + 7 < 5 + 7
10 ≤ 2x < 12
5 ≤ x < 6
HP = {x | 5 ≤ x < 6, x ∈ R}