[tex]\frac{x-3}{14} -\frac{x-7}{35} +\frac{2x+3}{5} \geq 0.1\\\\\frac{x-3}{14} -\frac{x-7}{35} +\frac{2x+3}{5} \geq\frac{1}{10} |*70\\\\5(x-3)-2(x-7)+14(2x+3)\geq 7\\5x-15-2x+14+28x+42\geq 7\\5x-2x+28x\geq 15-14-42+7\\31x\geq -34\\x\geq -\frac{34}{31} \\\\x\geq -1\frac{3}{31\\}\\\\x \in[-1\frac{3}{11} ;+\infty)\\\\\\[/tex]

[tex]\frac{5-3y}{11} +\frac{y-4}{10} -\frac{2+3y}{22} < \frac{2}{11} |*110\\\\10(5-3y)+11(y-4)-5(2+3y) < 20\\50-30y+11y-44-10-15y < 20\\-30y+11y-15y < -50+44+10+20\\-34y < 24\\y > -\frac{24}{34}\\\\y > -\frac{12}{17} \\\\y \in(-\frac{12}{17} ;+\infty)\\[/tex]

[tex]\frac{8x-1}{8} +\frac{7-4x}{5} -\frac{x+3}{20} > \frac{3}{40} |*40\\\\5(8x-1)+8(7-4x)-2(x+3) > 3\\40x-5+56-32x-2x-6 > 3\\40x-32x-2x > 5-56+6+3\\6x > -42\\x > -7\\\\x\in(-7;+\infty)[/tex]