`\text{~~Holi~~}`
`|x+1|+2>|2x+1|`
`-> |x+1|-|2x+1|> -2`
`->`\(\left[ \begin{array}{l}\begin{cases}x+1-(2x+1)>-2, x+1\ge0, 2x+1\ge0\\-(x+1)-(2x+1)>-2, x+1<0, 2x+1\ge0\end{cases}\\\begin{cases}x+1-[-(2x+1)]>-2, x+1\ge0, 2x+1<0\\-(x+1)-[-(2x+1)]>-2, x+1<0, 2x+1<0\end{cases}\end{array} \right.\)
`->`\(\left[ \begin{array}{l}\begin{cases}x<2, x\in[\dfrac{-1}{2}, +∞)\\x<0, x\in∅\end{cases}\\\begin{cases}x>\dfrac{-4}{3}, x\in[\dfrac{-1}{2}, -1)\\x>-2, x\in(-∞,-1)\end{cases}\end{array} \right.\)
`->`\(\left[ \begin{array}{l}\begin{cases}x\in[\dfrac{-1}{2},2)\\x\in∅\end{cases}\\\begin{cases}x\in[-1,\dfrac{-1}{2})\\x\in(-2,-1)\end{cases}\end{array} \right.\)
`-> x\in(2,-2)`
