Question

Помогите пж решить этот пример)

Answer 1

$\left \{ {{\frac{x-1}{2}-\frac{x-3}{4} \geq\frac{x-2}{3}-x \atop {1-x\geq\frac{1}{2}x-4}} \right.\\\\\left \{ {{\frac{x-1}{2}*12-\frac{x-3}{4}*12 \geq\frac{x-2}{3}*12-x*12 \atop {1*2-x*2\geq\frac{1}{2}x*2-4*2}} \right.\\\\\left \{ {{6*(x-1)-3*(x-3)\geq4*(x-2)-12x } \atop {2-2x\geq x-8}} \right.\\\\\left \{ {{6x-6-3x+9\geq 4x-8-12x } \atop {-2x-x\geq -8-2 }} \right.\\\\\left \{ {{3x+8x\geq -8-3} \atop {-3x\geq -10}} \right.\\\\\left \{ {{11x\geq-11 } \atop {x\leq3\frac{1}{3}}} \right.$

$\left \{ {{x\geq-1 } \atop {x\leq3\frac{1}{3}}} \right. \\\\Otvet:\boxed{x\in[-1;3\frac{1}{3}]}$