[tex]1.\\\\x - \frac{4x-2}{3} \geq x - 6\\\\-\frac{4x-2}{3} \geq -6 \ \ |\cdot (-3)\\\\4x-2 \geq 18\\\\4x\geq 18+2\\\\4x\geq 20 \ \ /:4\\\\x \geq 5\\\\x \in \ <5;+\infty)[/tex]
[tex]2.\\\\\frac{x}{2}+\frac{x-1}{4} \leq 1 \ \ |\cdot4\\\\2x+x-1 \leq 4\\\\3x \leq 4+1\\\\3x \leq 5 \ \ |:3\\\\x \leq \frac{5}{3}\\\\x \leq 1\frac{2}{3}\\\\x \in (-\infty; 1\frac{2}{3} >[/tex]