[tex] \dfrac{3}{x^2 - 3x+2} ~ \textless ~ \dfrac{5}{x^2 - 4x + 3} \\\\ \text{benar untuk ...} [/tex]
Matematika
dnnyz07
Pertanyaan
[tex] \dfrac{3}{x^2 - 3x+2} ~ \textless ~ \dfrac{5}{x^2 - 4x + 3} \\\\ \text{benar untuk ...} [/tex]
1 Jawaban
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1. Jawaban arsetpopeye
3/(x^2 - 3x + 2) < 5/(x^2 - 4x + 3)
3/(x^2 - 3x + 2) - 5/(x^2 - 4x + 3) < 0
3/(x - 2)(x - 1) - 5/(x - 3)(x - 1) < 0
[3(x - 3) - 5(x - 2)] / (x - 2)(x - 1)(x - 3) < 0
(3x - 9 - 5x + 10) / (x - 2)(x - 1)(x - 3) < 0
(1 - 2x) / (x - 2)(x - 1)(x - 3) < 0
x = 1/2 atau x = 2 atau x = 1 atau x = 3
Garis bilangan
--- (1/2) +++ (1) --- (2) +++ (3) ---
x < 1/2 atau 1 < x < 2 atau x > 3