Question

resolva a inequação:
$\frac{x}{4}$ - $\frac{3(x-1)}{10}$ ≤ 1

Answer 1

$\frac{x}{4} - \frac{3(x - 1)}{10} \leqslant 1$

Multiplicando por 20 ambos os membros:

$\frac{20x}{4} - 20 \times \frac{ 3(x - 1) }{10} \leqslant 20\\ 5x - 6(x - 1) \leqslant 20 \\ 5x - 6x + 6 \leqslant 20 \\ - x \leqslant 20- 6 \\ - x \leqslant 14 \\ x \geqslant -14$

S = {x pertence a R; $x \geqslant -14$}