Matematika

Pertanyaan

Tentukan Penyelesaian dari :
a. |x + 5| ≤ |1 – 9x|
b. |3x-8| = 5

1 Jawaban

  • a. |x + 5| ≤ |1 - 9x|
    = (f(x) + g(x)) (f(x) - g(x))
    = (x + 5 + 1 - 9x) (x + 5 - 1 + 9x)
    = (-8x + 6) (10x + 4)
    -8x = -6
    x = 3/4
    atau
    10x = -4
    x = -4/10
    x = -2/5
    HP = {x | x = 3/4 V x = -2/5, x elemen bilangan R}

    b. |3x - 8| = 5
    3x - 8 = 5
    3x = 5 + 8
    3x = 13
    x = 13/3
    Atau
    3x - 8 = -5
    3x = 3
    x = 1
    HP = {x | x = 13/3 V x = 1, x elemen bilangan R}

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