Question

x/3-(x+1)/2 < (1-x)/4

Answer 1

Resposta:

x  <  - 3

Explicação passo a passo:

$\frac{x}{3} -\frac{x+1}{2} < \frac{1-x}{4} \\\\\frac{(2x)-(3x+3)}{6} < \frac{1-x}{4} \implies \frac{-x+3}{6}- \frac{1-x}{4} < 0\\\\\frac{(-2x+6)-(3-3x)}{12} < 0 \implies \frac{x+3}{12} < 0 \Leftrightarrow x+3 < 0.12\\ \\\implies x+3 < 0 \therefore \boxed{x < -3}$