Álgebra
Quadratic Inequality Solver: Solve Inequalities Online
Solve quadratic inequalities (ax² + bx + c > 0, < 0, ≥ 0, ≤ 0) step-by-step. Visualize solutions graphically and understand interval notations. Easy and interactive tool for students and educators.
Enter Quadratic Inequality
Format: ax2 + bx + c > 0, < 0, ≥ 0, or ≤ 0
Example: x^2 - 4x + 3 > 0, -2x^2 + 5x - 1 ≤ 0, x^2 + 2x + 1 ≥ 0
Example: x^2 - 4x + 3 > 0, -2x^2 + 5x - 1 ≤ 0, x^2 + 2x + 1 ≥ 0
Visualization
Understanding Quadratic Inequalities
A quadratic inequality is an inequality that involves a quadratic polynomial. It is in the form of ax² + bx + c > 0, ax² + bx + c < 0, ax² + bx + c ≥ 0, or ax² + bx + c ≤ 0, where a, b, and c are real numbers and a ≠ 0.
How to Use This Solver:
- Enter your inequality in the input field provided, following the format ax^2 + bx + c [>, <, >=, <=] 0.
- Click the "Calculate" button to solve the inequality.
- The solution set will be displayed, and a graphical visualization of the quadratic function will appear below.
- Use the "Reset" button to clear the input and output fields.
- Click the copy icon to copy the solution set to your clipboard.
This tool helps you find the range of x values for which the quadratic function satisfies the given inequality. The visualization provides a graphical representation of the parabola and the solution area.