Question

determinar o conjunto solução da inequação:

$\frac{x + 4}{3} - \frac{3x + 2}{4} \geqslant 0$​

Answer 1

$\cfrac{x+4}{3} - \cfrac{3x +2}{4}\geq 0\\\\12 (\cfrac{x+4}{3} - \cfrac{3x +2}{4}) \geq 12 \cdot 0\\\\4(x+4) - 3(3x + 2) \geq 0\\4x + 16 - 9x - 6 \geq 0\\-5x + 10 \geq 0\\-5x \geq -10\\5x \leq 10\\x\leq \frac{10}{5} \\x\leq 2$