Matematika

Pertanyaan

|-2x + 5| , X ∈ R
|1:2x - 2:3| , X ∈ R
Di bantu ya kak, makasih

1 Jawaban

  • | -2x + 5 | = -2x + 5
    ⇒Jika
    -2x + 5 ≥ 0
    -2x ≥ -5
    x ≤ 5/2

    | -2x + 5 | = -(-2x + 5) = 2x - 5
    ⇒Jika
    -2x + 5 < 0
    -2x < -5
    x > 5/2

    -----------------------------------

    | 1/2 x - 2/3 | = 1/2 x - 2/3
    ⇒Jika
    1/2 x - 2/3 ≥ 0
    1/2 x ≥ 2/3
    x ≥ 4/3

    | 1/2 x - 2/3 | = -(1/2 x - 2/3) = -1/2 x + 2/3
    ⇒Jika
    -1/2 x + 2/3 < 0
    -1/2 x < -2/3
    -x < -4/3
    x > 4/3

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