Matematika

Pertanyaan

Tentukan HP Dari pertidaksamaan berikut, dengan peubah pada bilangan bulat
a. 9n-6>5n+2
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HP = {................................}

b. 2(p-3)>5p+9
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HP ={...................................}

c. -2x+3 ................................
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HP = {....................................}

d. 7(2y+1)>8y-11
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HP={........................................}

1 Jawaban

  • a)
    9n - 6 > 5n + 2
    9n - 5n > 2 + 6
    4n > 8
    n > 8:4
    n > 2

    HP = {n | n > 2 ; n € Bil. bulat}
    atau
    HP = {3, 4, 5, 6, 7, ...}

    b)
    2(p - 3) > 5p + 9
    2p - 6 > 5p + 9
    2p - 5p > 9 + 6
    -3p > 15
    p < 15:(-3)
    *karna dibagi bil. negatif, tanda berubah*
    p < -5

    HP = {p | p < -5 ; p € Bil. bulat}
    atau
    HP = {-6, -7, -8, -9, -10, ...}

    c)
    -2x + 3
    ....
    *tidak bisa diselesaikan karena soalnya kurang jelas*

    d)
    7(2y + 1) > 8y - 11
    14y + 7 > 8y - 11
    14y - 8y > -11 + 7
    6y > -4
    y > -4:6
    y > -2/3

    HP = {y | y > -2/3 ; y € bil. bulat}
    atau
    HP = {0, 1, 2, 3, 4, ...}

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