Graphing Quadratic Inequalities Calculator
Quadratic Inequality Graph
How to Use
- Enter the coefficients a, b, and c of the quadratic equation ax² + bx + c
- Select the inequality type (<, ≤, >, ≥)
- Click "Graph Inequality" to visualize the solution
- View the graph and solution set
Understanding Quadratic Inequalities
A quadratic inequality has the form:
ax² + bx + c < 0 (or ≤, >, ≥)
Where:
- a, b, and c are real numbers
- a ≠0 (otherwise it's not quadratic)
- The solution set is the set of all x-values that make the inequality true
Steps to Solve
- Find the roots of the quadratic equation
- Determine the direction of the parabola (upward if a > 0, downward if a < 0)
- Identify the regions where the inequality is satisfied
- Express the solution in interval notation
Applications
- Physics problems involving projectile motion
- Economics and business optimization
- Engineering design constraints
- Scientific modeling and analysis
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