Hello,
it seems that sympy doesn't know how to solve something like
-5*x**9+96*x**8-790*x**7+3623*x**6-10069*x**5+17250*x**4-17748*x**3+10395*x**2-3564*x+972
 
< 0

sympy gives "[1/10 - I*19**(1/2)/10, 2, 3, 1/10 + I*19**(1/2)/10]" the 
roots of
-5*x**9+96*x**8-790*x**7+3623*x**6-10069*x**5+17250*x**4-17748*x**3+10395*x**2-3564*x+972

If we know the multplicity of each roots, then solving the inequality 
becomes easy. Indeed we have the following factorization :
(x-3)**5*(x-2)**2*(-5*x**2+x-1)
So if we know that 3 has multplicity 5, 2 multiplicity 2 then we know 
that the remaining ploynom (which has no real solution) has same sign as 
the dominent coefficient (-5). The remainig task is to solve one degre 
inequalities.

What do you think about it ?

Christophe.


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