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Upgrading from:

Algebra`InequalitySolve`

The built-in function Reduce provides the functionality previously found in Algebra`InequalitySolve`.

Instead of InequalitySolve[expr,vars] you should use Reduce[expr,vars,Reals]:

Version 5.2 << Algebra`InequalitySolve`; InequalitySolve[x (x^2 - 2) (x^2 - 3) > 0, x]
Wolfram Language code: Reduce[x (x ^ 2 - 2) (x ^ 2 - 3) > 0, x, Reals]