![image](https://tex.z-dn.net/?f=%5Cfrac%7Bx-1%7D%7B3%7D-2x%3E%5Cfrac%7B3x%2B1%7D%7B2%7D%5C%5C%5C%0A%5Cfrac%7Bx-1-6x%7D%7B3%7D%3E%5Cfrac%7B3x%2B1%7D%7B2%7D%5C%5C%5C%0A%5Cfrac%7B-1-5x%7D%7B3%7D%3E%5Cfrac%7B3x%2B1%7D%7B2%7D%5C%5C%5C%0A2%28-1-5x%29%3E3%283x%2B1%29%5C%5C%5C%0A-2-10x%3E3x%2B3%5C%5C%5C%0A-10x-3x%3E3%2B2%5C%5C%5C%0A-13x%3E5%5C%5C%5C%0Ax%3C-%5Cfrac%7B5%7D%7B13%7D%0A)
\frac{3x+1}{2}\\\
\frac{x-1-6x}{3}>\frac{3x+1}{2}\\\
\frac{-1-5x}{3}>\frac{3x+1}{2}\\\
2(-1-5x)>3(3x+1)\\\
-2-10x>3x+3\\\
-10x-3x>3+2\\\
-13x>5\\\
x<-\frac{5}{13}
" alt="\frac{x-1}{3}-2x>\frac{3x+1}{2}\\\
\frac{x-1-6x}{3}>\frac{3x+1}{2}\\\
\frac{-1-5x}{3}>\frac{3x+1}{2}\\\
2(-1-5x)>3(3x+1)\\\
-2-10x>3x+3\\\
-10x-3x>3+2\\\
-13x>5\\\
x<-\frac{5}{13}
" align="absmiddle" class="latex-formula">