1. |3x + 7| >= 1 2. |x-2| < 3 3. |2x-5|<3 mohon dibantu

Bab Nilai Mutlak
Matematika SMA Kelas X

1] |3x + 7| ≥ 1

3x + 7 ≤ -1  atau 3x + 7 ≥ 1
3x ≤ -1 - 7           3x ≥ 1 - 7
3x ≤ -8                3x ≥ -6
x ≤ -8/3               x ≥ -2

HP = { x | x ≤ -8/3 atau x ≥ -2, x ∈ bilangan real }

2] |x - 2| < 3

-3 < x - 2 < 3
-3 + 2 < x - 2 + 2 < 3 + 2
-1 < x < 5

HP = { x | -1 < x < 5, x ∈ bilangan real }

3] |2x - 5| < 3

-3 < 2x - 5 < 3
-3 + 5 < 2x - 5 + 5 < 3 + 5
2 < 2x < 8
2/2 < 2x/2 < 8/2
1 < x < 4

HP = { x | 1 < x < 4, x ∈ bilangan real }