Matematika

Pertanyaan

Tentukan himpunan penyelesaian persamaan Linier nilai mutlak Sbb :
1. | x - 2 | = 8
2. | 5x - 15 | = 20
3. | x + 2 | = 10
4. | 3x - 5 | = 7
5. | 3 - 2x | = 4
6 | x/2 + 5 | = 9
7. | 3x + 2 | = 5
8. | 2 - x/2 | =3

1 Jawaban

  • 1. x-2 = 8
    x = 10
    -x+2 = 8
    x = -6
    {-6,10}
    2. 5x-15 = 20
    5x = 35
    x = 7
    -5x+15 = 20
    -5x = 5
    x = -1
    {-1,7}
    3. x+2 = 10
    x = 8
    -x-2 = 10
    x = -12
    {-12,8}
    4. 3x-5 = 7
    3x = 12
    x = 4
    -3x+5 = 7
    -3x = 2
    x = -2/3
    {-2/3,4}
    5. 3-2x = 4
    -2x = 1
    x = -1/2
    -3+2x = 4
    2x = 7
    x = 7/2
    {-1/2,7/2}
    6. x/2+5 = 9
    x/2 = 4
    x = 8
    -x/2-5 = 9
    -x/2 = 14
    x = -28
    {-28,8}
    7. 3x+2 = 5
    3x = 3
    x = 1
    -3x-2 = 5
    -3x = 7
    x = -7/3
    {-7/3,1}
    8. 2-x/2 = 3
    -x/2 = 1
    x = -2
    -2+x/2 = 3
    x/2 = 5
    x = 10
    {-2,10}

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