Matematika

Pertanyaan

tolong dijawab no. 1-5!! please pake cara!
tolong dijawab no. 1-5!! please pake cara!

1 Jawaban

  • 1)
    3(x + 5) - 28 > 2(2 - x)
    3x + 15 - 28 > 4 - 2x
    3x - 13 > 4 - 2x
    3x + 2x > 4 + 13
    5x > 17
    [tex]x > \frac{17}{5} \\ x > 3 \frac{2}{5} [/tex]


    2)
    [tex]2(2x - 5) - 3(x - 1) \geqslant 3x - 13 \\ 4x - 10 - 3x + 3 \geqslant 3x - 13 \\ x - 7 \geqslant 3x - 13 \\ x - 3x \geqslant - 13 + 7 \\ - 2x \geqslant - 6 \\ x \leqslant 3[/tex]


    3)
    [tex] \frac{1}{2} (x + 2) + 3 \frac{1}{4} > \frac{3}{4} (2x - 1) \\ = \frac{1}{2} x + 1 + \frac{13}{4} > \frac{3}{2} x - \frac{3}{4} \\ = 2x + 17 > 6x - 3 \\ = 2x - 6x > - 3 - 17 \\ = - 4x > - 20 \\ = x < 5[/tex]


    4)
    [tex] \frac{x - 2}{3} - \frac{x + 1}{4} > \frac{1}{2} \\ 4(x - 2) - 3(x + 1) > 6 \\ 4x - 8 - 3x - 3 > 6 \\ x - 11 > 6 \\ x > 6 + 11 \\ x > 17[/tex]

    5)
    [tex] \frac{x - 5}{3} < \frac{x + 1}{6} \\ 2(x - 5) < x + 1 \\ 2x - 10 < x + 1 \\ 2x - x < 1 + 10 \\ x < 11[/tex]


    Maaf kalau ada yang salah ya.