Solve the inequation `root(5)([3/(x+1)+7/(x+2)])ltroot(5)(6/(x-1))`

Explanation

The given inequation is equivalent to
`3/(x+1)+7/(x+2)lt6/(x-1)`
`implies(4x^(2)-15x-25)/((x+)(x+2)(x-1))lt0`
`implies((x+5//4)(x-5))/((x+1)(x+2)(x-1))lt0`
From Wavy Curve Method:

`x epsilon (-oo,-2)uu(-5/4,1)uu(1,5)`