Ответ: [1; +бесконечность)
![image](https://tex.z-dn.net/?f=2%299-7x%3E-1-17x%5C%5C%0A-7x%2B17x%3E-1-9%5C%5C%0A10x%3E-10%5C%5C%0Ax%3E-10%3A10%5C%5C%0Ax%3E-1%5C%5C)
-1-17x\\
-7x+17x>-1-9\\
10x>-10\\
x>-10:10\\
x>-1\\" alt="2)9-7x>-1-17x\\
-7x+17x>-1-9\\
10x>-10\\
x>-10:10\\
x>-1\\" align="absmiddle" class="latex-formula">
Ответ: (-1; +бесконечность)
![image](https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B1%7D%7B5%7D-%5Cfrac%7B2-x%7D%7B3%7D%3E2+%5C+%5C+%7C%2A15%5C%5C%0A%5C%5C%0A3%282x%2B1%29-5%282-x%29%3E30%5C%5C6x%2B3-10%2B5x%3E30%5C%5C%0A6x%2B5x%3E30-3%2B10%5C%5C%0A11x%3E37%5C%5C%0Ax%3E%5Cfrac%7B37%7D%7B11%7D%3D3%5Cfrac4%7B11%7D)
2 \ \ |*15\\
\\
3(2x+1)-5(2-x)>30\\6x+3-10+5x>30\\
6x+5x>30-3+10\\
11x>37\\
x>\frac{37}{11}=3\frac4{11}" alt="\frac{2x+1}{5}-\frac{2-x}{3}>2 \ \ |*15\\
\\
3(2x+1)-5(2-x)>30\\6x+3-10+5x>30\\
6x+5x>30-3+10\\
11x>37\\
x>\frac{37}{11}=3\frac4{11}" align="absmiddle" class="latex-formula">
Ответ: (3(4/11); +бескон)
![image](https://tex.z-dn.net/?f=%5Cfrac6%7Bx%2B2%7D-7%3C0%5C%5C%0A%5Cfrac%7B6-7%28x%2B2%29%7D%7Bx%2B2%7D%3C0%5C%5C%5C%5C%0A%5Cfrac%7B-7x-8%7D%7Bx%2B2%7D%3C0%5C%5C%5C%5C%0A-%28%5Cfrac%7B7%28x%2B%5Cfrac87%29%7D%7Bx%2B2%7D%29%3C0%5C%5C%5C%5C%0A%5Cfrac%7B7%28x%2B%5Cfrac87%29%7D%7Bx%2B2%7D%3E0%5C%5C%5C%5C)
0\\\\" alt="\frac6{x+2}-7<0\\
\frac{6-7(x+2)}{x+2}<0\\\\
\frac{-7x-8}{x+2}<0\\\\
-(\frac{7(x+\frac87)}{x+2})<0\\\\
\frac{7(x+\frac87)}{x+2}>0\\\\" align="absmiddle" class="latex-formula">
отвеn: x ∈ (-беск; -2) U (-8/7; +бескон)