Matematika

Pertanyaan

tolong dong besok udah kumpul soalnya
tolong dong besok udah kumpul soalnya

2 Jawaban

  • 3. x+1/x+2<3
    x+1<3 (x+2)
    x+1<3x +6
    3x-x<6-1
    2x. <5
    x. <5/2
    2.-4/2x+6>0
    -4. >0(2x+6)
    -4>0
  • 2) -4/(2x + 6) ≥ 0
    -2/(x + 3) ≥ 0
    (x + 3) < 0
    x < -3

    3) (x + 1)/(x + 2) ≤ 3
    (x + 1)/(x + 2) - 3 ≤ 0
    (x + 1 - 3(x + 2))/(x + 2) ≤ 0
    (x + 1 - 3x - 6)/(x + 2) ≤ 0
    (-2x - 5)/(x + 2) ≤ 0
    x = -5/2 atau x = -2
    --- (-5/2) +++ (-2) ---
    x ≤ -5/2 atau x > -2

    4) (x + 1)/(x^2 - x - 6) > 0
    (x + 1)/(x - 3)(x + 2) > 0
    x = -1 atau x = 3 atau x = -2
    --- (-2) +++ (-1) --- (3) ++++
    -2 < x < -1 atau x > 3

    5) 7/(x + 5) ≤ 5/(x - 7)
    7/(x + 5) - 5/(x - 7) ≤ 0
    (7(x - 7) - 5(x + 5))/(x + 5)(x - 7) ≤ 0
    (7x - 49 - 5x - 25)/(x + 5)(x - 7) ≤ 0
    (2x - 74)/(x + 5)(x - 7) ≤ 0
    2(x - 37)/(x + 5)(x - 7) ≤ 0
    x = 37 atau x = -5 atau x = 7
    ---- (-5) +++ (7) --- (37) +++
    x < -5 atau 7 < x ≤ 37