Matematika

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tolongin aku ya teman teman semua.
mksh
tolongin aku ya teman teman semua. mksh

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2 Jawaban

  • No. 2
    |5x - 3| = 15
    (i)
    5x - 3 = 15
    5x = 18
    x = 18/5
    (ii)
    5x - 3 = -15
    5x = -12
    x = -12/5
    jadi HP : {-12/5 , 18/5}

    No. 4
    |4 - 3x| = |-4|
    (4 - 3x)² = (-4)²
    16 - 24x + 9x² = 16
    -24 + 9x² = 0
    9x² = 24
    x² = 24/9
    x = -√(24/9)   ∨   x = √(24/9)
    x = -(2/3)√6   ∨   x = (2/3)√6

    No.6
    |x - 4| + |3x + 9| = 27
    (i)
    x - 4 + 3x + 9 = 27
    4x = 22
    x = 11/2
    (ii)
    x - 4 + 3x + 9 = -27
    4x = -32
    x = -8
    jadi HP : {-8 , 11/2}

    No. 7
    |2x - 3| < 4
    -4 < 2x - 3 < 4
    -4 + 3 < 2x < 4 + 3
    -1 < 2x < 7
    -1/2 < x < 7/2

    No. 8
    |x + 5| ≥ 9
    (i)
    x + 5 ≥ 9
    x ≥ 4
    (ii)
    x + 5 ≤ -9
    x ≤ -14
    HP : {x| x ≤ -14  atau  x ≥ 4}

  • Jawabannya:
    6. |x-4|+|3x+9|=27
    * x-4+3x+9=27
    4x= 22
    x= 22/4
    x= 11/2
    * x-4+3x+9=27
    4x= -32
    x= -32/4
    x= -8
    HP={-8, 11/2}

    7. |2x-3|<4
    -4<2x-3<4
    -4+3<2x<4+3
    -1<2x<7
    -1/2<x<7/2
    8. |x+5|≥9
    * x+5≥9
    x≥9-5
    x≥4
    * x+5≤ -9
    x≤ -9-5
    x≤ -14
    HP={x|x≤ -14 atau x≥14}

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