Algebra Inequalities Calculator

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\frac{x ^{4} + x ^{2} + 1}{x ^{2} - 4 x - 5} < 0

2 x^{2} - 3 x + 1 > 0

Frequently Asked Questions

What can this algebra inequalities calculator solve?

This free algebra inequalities calculator helps you solve linear, quadratic, polynomial, rational, and compound inequalities with clear, step-by-step explanations.
Is this algebra inequalities calculator free?

Yes, it’s completely free to use. You can solve inequality problems online and get step-by-step explanations.
Can I scan a math problem with my camera?

Yes. Use the Socratic AI (ScanMath) app to scan the problem, and it will generate step-by-step solutions automatically.
What does “No Solution” mean?

"No solution" indicates that the inequality is true when the variable has no real value. For instance, since x² + 1 is always positive, x² + 1 < 0 has no real solution.
What does “All Real Numbers” mean?

"All real numbers" indicates that the inequality is satisfied by every real value of the variable. For instance, the solution is (-∞, ∞) since x² + 1 > 0 is always true for real x.
What is the solution set of an inequality?

The solution set is all values of the variable that make the inequality true. Instead of one number, an inequality can have a range of values, often written in inequality form (like x > 3) or in interval notation (like (3, ∞)).