Solve the inequality ` ((x - 2)^10000 (x + 1)^235 (x-1/2)^971 (x+8))^4 / (x^500 (x-3)^75 (x+2)^93) >=0 `

Explanation

We have `((x-2)^(10000)(x+1)^(253)(x-1/2)^(971)(x+7)^(4))/(x^(500)(x-3)^(75)(x+2)^(93))ge0`
The critical points are `(-8),(-2),(-1),0,1/2,2,3`.
`[ :' x!=-2,0,3]`

Hence `x epsilon(-oo,-u]uu[-8,-2)uu[-1,0)uu(0,1/2]uu(3,oo)`
or `x epsilon(-oo,-2)uu[-1,0)uu(0,1/2]uu(3,oo)`