### get range of values for inequalities

If I have a bunch of inequalities like ~~$x>y, ~~$ x>y, y>z, z ~~\not = 5,x<z+y$, ~~\neq 5,x<z+y$ ,="" how="" do="" i="" get="" a="" range="" of="" values="" of="" each="" variable="" for="" which="" all="" these="" inequalities="" are="" satisfied?="" thanks.<="" p="">

Edit: I found that this can be achieved with mathematica as mentioned in the below link:

mathematica.stackexchange.com/questions/38507/solve-the-system-of-equalities-and-inequalities

But, I want an open source solution. Is it possible with sage at all?