Algebra Inequalities Calculator

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Algebra

Inequalities

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

Algebra

Inequalities

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

About the Algebra Inequalities Calculator

Enter an inequality (linear, quadratic, polynomial, rational, or compound), and get a clear step-by-step solution. Or try scanning with the Socratic AI (ScanMath) app.

1. Solve linear inequalities (e.g., 2x − 3 > 7)
2. Solve quadratic inequalities (e.g., x^2 − 5x + 6 ≤ 0)
3. Handle compound inequalities (e.g., 1 < 2x + 3 ≤ 9)

How to Use the Algebra Inequalities Calculator

Enter your algebra inequalities problem into the text box above.

1. Type your inequality (use <= for ≤ and >= for ≥).
2. Click "Solve"
3. View the solution step by step

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Frequently Asked Questions

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, ∞)).

Algebra Inequalities Calculator

About the Algebra Inequalities Calculator

How to Use the Algebra Inequalities Calculator

Algebra Inequalities Examples

Related Calculators

Frequently Asked Questions

What Does “No Solution” Mean?

What Does “All Real Numbers” Mean?

What Is the Solution Set of an Inequality?