Matematika

Pertanyaan

himpunan penyelesaian dari | x + 1 | + | 1 - x |=2

1 Jawaban

  • 1. |x + 1| + |1-x| = 2
    x + 1 + 1 - x = 2
    x + 2 - x = 2
    x - x = 2 - 2
    0 = 0
    (tidak mutlak)

    2. -|x + 1| + |1-x| = 2
    -x - 1 + 1 - x = 2
    -2x = 2
    x = -1

    3. |x + 1| + (-|1-x|) = 2
    x + 1 - 1 + x = 2
    2x = 2
    x = 1

    4. |x + 1| + |1-x| = 2
    x + 1 + 1 - x = 2
    x + 2 - x = 2
    x - x = 2 - 2
    0 = 0
    (tidak mutlak)

    Hp :
    1. -
    2. {x = -1}
    3. {x = 1}
    4. -

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