Matematika

Pertanyaan

|12x+1|<|2x-3|
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  • Bab Nilai Mutlak
    Matematika SMA Kelas X

    |12x + 1| < |2x - 3|

    (12x + 1)² < (2x - 3)²
    (12x + 1)² - (2x - 3)² < 0
    (12x + 1 + 2x - 3) (12x + 1 - 2x + 3) < 0
    (14x - 2) (12x + 4) < 0
    12x + 4 > 0
    12x > -4
    x > -4/12
    x > -1/3
    -1/3 < x

    14x - 2 < 0
    14x < 2
    x < 2/14
    x < 1/7

    -1/3 < x < 1/7

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