Matematika

Pertanyaan

Tentukan himpunan penyelesaian
1.|×+4|=2
2.|3×+14|=2
3.|2×-3|<5

1 Jawaban

  • Operasi Mutlak

    1][
    |x + 4| = 2
    x + 4 = 2
    x = -2

    |x + 3| = -2
    x + 3 = -2
    x = -5

    HP = {-2, -5}

    2][
    |3x + 14| = 2
    3x + 14 = 2
    3x = -12
    x = -4

    |3x + 14| = -2
    3x + 14 = -2
    3x = -16
    x = -16/3

    HP = {-4, -16/3}

    3][
    |2x - 3| < 5
    2x - 3 < 5
    2x < 8
    x = 4

    |2x - 3| > -5
    2x - 3 > -5
    2x > -2
    x > -1

    HP = {4, -1}

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