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Algebra`InequalitySolve`
The package provides a function for solving systems of univariate inequalities. InequalitySolve[expr,x] finds conditions that must be satisfied by real values of x in order for the expression expr to be true. The expression should contain logical connectives and univariate polynomial equations and inequalities in the specified variable.
Finding solutions to inequalities.
This loads the package.
In[1]:= <<Algebra`InequalitySolve`
Here is a set of solutions to a polynomial inequality.
In[2]:= InequalitySolve[x (x^2 - 2) (x^2 - 3) > 0, x]
Out[2]= 
The inequalities may contain absolute values and rational functions.
In[3]:= InequalitySolve[x/Abs[x - 1] >= 0 && 1/x < x + 1, x]
Out[3]= 
Here the inequalities contain the exponential function. In general, if inequalities contain nonpolynomial functions of the specified variable, we may get an incorrect result.
In[4]:= InequalitySolve[Abs[x - 1] <= 5 && E^x <= 3, x]
InequalitySolve::npi: A nonpolynomial equation or inequality encountered. The solution set may be incorrect.
Out[4]= 
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