![image](https://tex.z-dn.net/?f=6+%2B+2x+%3C+14+%5C%5C+2x+%3C+14+-+6+%5C%5C+2x+%3C+8+%5Cdiv+2+%5C%5C+x+%3C+4+%5C%5C++%5C%5C+14x+-+8+%3E+22x+%5C%5C+14x+-+22x+%3E+8+%5C%5C++-+8x+%3E+8+%5Cdiv++-+8+%5C%5C+x+%3C++-+1+%5C%5C++%5C%5C+10+-+11x+%3C+6+-+3x+%5C%5C++-+11x+%2B+3x+%3C+6+-+10+%5C%5C++-+8x+%3C++-+4+%5Cdiv++-+8+%5C%5C++x+%3E++%5Cfrac%7B1%7D%7B2%7D+)
22x \\ 14x - 22x > 8 \\ - 8x > 8 \div - 8 \\ x < - 1 \\ \\ 10 - 11x < 6 - 3x \\ - 11x + 3x < 6 - 10 \\ - 8x < - 4 \div - 8 \\ x > \frac{1}{2} " alt="6 + 2x < 14 \\ 2x < 14 - 6 \\ 2x < 8 \div 2 \\ x < 4 \\ \\ 14x - 8 > 22x \\ 14x - 22x > 8 \\ - 8x > 8 \div - 8 \\ x < - 1 \\ \\ 10 - 11x < 6 - 3x \\ - 11x + 3x < 6 - 10 \\ - 8x < - 4 \div - 8 \\ x > \frac{1}{2} " align="absmiddle" class="latex-formula">