Matematika

Pertanyaan

Tentukan penyelesaian dari setiap pertidaksamaan berikut
1. 2(4-3n) <(n-5)
2. 1/6 (6y+8)> 1/2 (5y+12)
3. 3/4 (4p-12) > 2/3 (2p+6)

1 Jawaban

  • 1.
    2(4-3n) < (n-5)
    8 -6n < n-5
    -6n-n < -5-8
    -7n < -14
    n > -14/-7
    n> 2
    HP : {x| x > 2}

    2.
    (1/6)(6y+8) > (1/2)(5y+12)
    y + (8/6) > (5/2)y + 6
    y - (y - (5/2)y > 6-(8/6)
    y - (5/2)y > 6-(4/3)
    (-3/2)y > (14/3)
    y < (14/3)÷(-3/2)
    y < (14/3) × (-2/3)
    y < -38
    HP: {y| y < -38}

    3.
    (3/4)(4p-12) > (2/3)(2p+6)
    3p - 9 > (4/3)p + 4
    3p - (4/3)p > 4+9
    (5/3)p > 13
    p > 13÷(5/3)
    p> 13×(3/5)
    p> 39/5
    HP : {p| p> 39/5}

    semoga membantu

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