Inequality Solver
Solve polynomial and rational inequalities in one variable and get the answer in interval notation with the sign analysis.
Solve polynomial and rational inequalities in one variable and get the answer in interval notation with the sign analysis.
Your result will appear here
Solves polynomial and rational inequalities in one variable, such as or , and writes the solution set in interval notation.
The method is a sign analysis: everything is moved to one side, the critical points (zeros and undefined points) are found, and one test value is checked in each interval between them. Endpoints are included only where the inequality allows equality and the expression is defined.
Example
x^2 - 4 >= 0
→ (−∞, −2] ∪ [2, ∞)
A value that makes a denominator zero is never part of the solution, because the expression is undefined there.