Quadratic Inequality Graph Calculator
Introduction & Importance
Quadratic inequalities are essential in mathematics, physics, and engineering. Our calculator helps you understand and solve them visually.
How to Use This Calculator
- Enter coefficients A, B, and C for your quadratic equation (Ax² + Bx + C).
- Choose the inequality sign (>, <, >=, <=).
- Click “Calculate”.
Formula & Methodology
The calculator uses the quadratic formula to find the roots of the equation and then determines the intervals that satisfy the chosen inequality.
Real-World Examples
Data & Statistics
| Equation | Inequality | Solution Interval |
|---|---|---|
| x² – 5x + 6 | >0 | (2, ∞) |
Expert Tips
- Always check your answers by substituting values from the solution interval back into the original inequality.
- Remember that the solution interval for a quadratic inequality can be a single point, an open interval, a closed interval, or a half-open interval.
Interactive FAQ
What if the quadratic equation has no real roots?
The calculator will indicate that the inequality has no solution.