Question

Determinati n (nr natural) pentru care $\frac{1}{10}$ < $\frac{5}{7*n+3}$ < $\frac{1}{6}$

Answer 1

Răspuns:

Explicație pas cu pas:

Answer 2

$\dfrac{1}{10}<\dfrac{5}{7n+3}<\dfrac{1}{6}\,\Bigg|\verb ^(-1) \\\\\\ 10 > \dfrac{7n+3}{5}>6\,\Big|\cdot 5 \\\\ \\50 > 7n+3 > 30\,\Big|-3\\\\\\47 > 7n > 23\,\Big|:7 \\\\ \\ \dfrac{47}{7}>n>\dfrac{23}{7} \\\\ \\ \dfrac{23}{7}<n<\dfrac{47}{7}\\ \\\\ \Rightarrow n\in\Big\{4,5,6\Big\}$