[tex] \frac{2x - 2}{3} + 2 > 3 - \frac{1 + x}{2} \\ \frac{2x - 2}{3} + \frac{1 + x}{2} > 3 - 2 \: \: | \times 6 \\ 2(2x - 2) + 3(1 + x) > 6 \\ 4x - 4 + 3 + 3x > 6 \\ 7x > 6 + 1 \\ 7x > 7 \: \: | \div 7 \\ x > 1 \\ otvet \: \: \: \: x \: \epsilon \:(1; \: + \propto)[/tex]