Question

x/3 - (x+1)/2 < (1 - x) / 4​

Answer 1

Resposta:

$\sf \dfrac{x}{3} - \dfrac{(x + 1)}{2} < \dfrac{(1 - x)}{4} \quad \gets \text{\sf o m.m.c de 2; 3 e 4 = 12}$

$\sf \dfrac{4x}{12} - \dfrac{6 \cdot (x + 1)}{12} < \dfrac{ 3\cdot(1 - x)}{12} \quad \gets \text{\sf Cancelar o denominador.}$

$\sf 4x - 6\cdot (x + 1) < 3 \cdot (1 - x)$

$\sf 4x - 6x - 6 < 3 - 3x$

$\sf 4x +3x - 6x < 3 + 6$

$\sf 7x - 6x < 9$

$\boldsymbol{ \sf \displaystyle x < 9 }}$

$\boldsymbol{ \sf \displaystyle S = \{ x \in \mathbb{R} \mid x < 9 \}} \quad \text {\s ou } \boldsymbol{ \sf \displaystyle S =\; ] -\infty, 9 \;[ }$