Matematika

Pertanyaan

A) |2x + 3| > |x + 1| =
B) |x^2 - 5 | < 1 =
C) |x -2|^2 + 3 < 4 |x - 2| =


Cepat ya jawabnya. Please. Mksh

2 Jawaban

  • semoga membantu dan jangan lupa follow
    kalau bisa jadikan jawaban terbaik☺
    Gambar lampiran jawaban setiawan987
  • a. |2x + 3| > | x + 1 |
    | 2x + 3 | - | x + 1 | > 0
    2x + 3 - (x + 1) > 0,2x + 3 ≥ 0, x + 1 ≥0
    -(2x + 3) - (x + 1) > 0, 2x + 3 < 0, x + 1 ≥ 0
    2x + 3 - (-(x + 1) ) > 0, 2x + 3 ≥ 0, x + 1 < 0
    - (2x + 3) - (-(x + 1) ) > 0,2x + 3 < 0, x + 1 < 0
    x > -2 , x ≥ - 3/2, x ≥ - 1
    x < - 4/3, x < - 3/2, x ≥ - 1
    x > - 4/3, x ≥ - 3/2, x < - 1
    x < - 2, x < - 3/2, x < - 1
    x > - 2, x € [-1, + oo]
    x < - 4/3, x € 0
    x > - 4/3, x € [-3/2, -1]
    x < -2, x € [ -oo, -3/2]
    x € [-1, + oo]
    x € 0
    x € [-4/3, -1]
    x € [oo, -2]
    x € [ -oo, -2] U [-4/3, + oo]

    No. B ada digambar

    C. (x - 2)² + 3 < 4x - 8
    (x - 2)² < 4x - 8 - 3
    x² - 4x + 4 < 4x - 11
    x² - 4x < 4x - 15
    x² + 8x < -15
    x² < - 15/8x
    x < √-15/8x

    (2x 13) > (x + 1)
    2x > x + 1 - 3
    2x - x > 2
    x >- 2

    x² - 5 < 1
    x² < 6
    x < √6
    Gambar lampiran jawaban DeversYI

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