Jawab:
nilai mutlak
pertidaksamaan
Penjelasan dengan langkah-langkah:
i) | 2x - 1 | + | x | ≤ 4
a) x< 0
1 - 2x - x ≤ 4
-3x ≤ 3
x ≥ - 1
HP = -1 ≤ x < 0
b) 0 ≤ x < 1/2
1 - 2x + x ≤ 4
-x ≤ 3
x ≤ -3
HP = x ≤ -3 dan 0 ≤ x < 1/2
HP 0 ≤ x < 1/2
c) x≥ 1/2
2x - 1 + x ≤ 4
3x ≤ 5
x ≤ 5/3
HP 1/2 ≤ x ≤ 5/3
.
dari a, b dan c)
HP = -1 ≤ x ≤ 5/3
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Jawab:
nilai mutlak
pertidaksamaan
Penjelasan dengan langkah-langkah:
i) | 2x - 1 | + | x | ≤ 4
a) x< 0
1 - 2x - x ≤ 4
-3x ≤ 3
x ≥ - 1
HP = -1 ≤ x < 0
b) 0 ≤ x < 1/2
1 - 2x + x ≤ 4
-x ≤ 3
x ≤ -3
HP = x ≤ -3 dan 0 ≤ x < 1/2
HP 0 ≤ x < 1/2
c) x≥ 1/2
2x - 1 + x ≤ 4
3x ≤ 5
x ≤ 5/3
HP 1/2 ≤ x ≤ 5/3
.
dari a, b dan c)
HP = -1 ≤ x ≤ 5/3