Matematika

Pertanyaan

please,pakai caranya y
#matematika wjib kls10
please,pakai caranya y #matematika wjib kls10

1 Jawaban

  • 1.]
    6|2x - 3| = 54
    |2x - 3| = 9

    2x - 3 = 9 atau 2x - 3 = -9
    2x = 12 atau 2x = -6
    x = 6 atau x = -3

    2.]
    | 2x - 3 / 4 - x | ≥ 3

    ____________________________

    [tex] \frac{2x-3}{4-x} \geq 3 \\
    \frac{2x - 3}{4-x} - 3 \geq 0 \\
    \frac{2x - 3 - 3(4 - x)}{4 - x} \geq 0 \\
    \frac{5x-15}{-(x - 4)} \geq 0 \\
    \frac{5x - 15}{x - 4} \leq 0 [/tex]
    3 ≤ x < 4 ... (i)

    ____________________________

    [tex] \frac{2x-3}{4-x} \leq -3 \\
    \frac{2x - 3}{4-x} + 3 \leq 0 \\
    \frac{2x-3+3(4-x)}{4-x} \leq 0 \\
    \frac{-x+9}{4-x} \leq 0 \\
    \frac{-(x - 9)}{-(x - 4)} \leq 0 \\
    \frac{x - 9}{x-4} \leq 0 [/tex]
    4 < x ≤ 9

    HP : {x | 3 ≤ x < 4 atau 4 < x ≤ 9}
    atau
    HP : {x | 3 ≤ x ≤ 9 , x ≠ 4}