[tex] \frac{x - 2}{x} \geqslant \frac{x + 1}{x + 3} \\ [/tex]
Penyelesaian :
[tex] = \frac{x - 2}{x} - \frac{x + 1}{x + 3} \geqslant 0 \\ [/tex]
[tex] = \frac{(x - 2)(x + 3) - (x + 1) \times x}{x(x + 3)} \geqslant 0 \\ [/tex]
= ((x - 2) (x + 3)-(x + 1).x). x(x + 3) ≥ 0
= (x - 2) (x + 3) - (x + 1).x = 0 atau x + 3 = 0
no solution atau x = -3
x = 0 atau x = -3
x1 = -3
x2 = 0
makaa :
-3 ≤ x ≤ 0
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[tex] \frac{x - 2}{x} \geqslant \frac{x + 1}{x + 3} \\ [/tex]
Penyelesaian :
[tex] = \frac{x - 2}{x} - \frac{x + 1}{x + 3} \geqslant 0 \\ [/tex]
[tex] = \frac{(x - 2)(x + 3) - (x + 1) \times x}{x(x + 3)} \geqslant 0 \\ [/tex]
= ((x - 2) (x + 3)-(x + 1).x). x(x + 3) ≥ 0
= (x - 2) (x + 3) - (x + 1).x = 0 atau x + 3 = 0
no solution atau x = -3
x = 0 atau x = -3
x1 = -3
x2 = 0
makaa :
-3 ≤ x ≤ 0