Question

Решить неравенство:
$\frac{3x + 4}{2} - \frac{1 - x}{3} < \frac{7x - 3}{2} - \frac{3 - x}{3}$
​

Answer 1

$\frac{3x+4}{2} *6-\frac{1-x}{3}*6<\frac{7x-3}{2}*6-\frac{3-x}{3}*6\\\\3(3x+4)-2(1-x)<3(7x-3)-2(3-x)\\\\9x+12-2+2x<21x-9-6+2x\\\\11x-23x<-15-10\\\\-12x<-25\\\\x>2\frac{1}{12} \\\\Otvet:\boxed{x\in(2\frac{1}{12};+\infty)}$