Question

cum se rezolva urmatoarea fractie de clasa a cincea
a+3/a+6<2/3

Answer 1

Răspuns:

$\frac{a + 3}{a + 6} - \frac{2}{3} \leqslant 0 \: \: \\ \frac{3a + 9 - 2a - 12}{3(a + 6)} \leqslant 0 \\ \\ \frac{a - 3}{3(a + 6)} \leqslant 0 \\ \\ 1. \: \: a - 3 \leqslant 0 \\ \: \: 3(a + 6) \leqslant 0 \\ \\ 2. \: \: a - 3 \ \geqslant 0 \\ \: \: \: 3(a + 6) \geqslant 0$

1. a apartine (-6;3]

2. a apartine multimii vide

raspunsul final este a apartine (-6;3]