Practice - Quadratic Inequalities
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Practice Questions
Test your understanding with targeted questions
Solve the inequality x^2 + 2x − 15 > 0.
💡 Hint: Factor the quadratic expression.
Solve the inequality x^2 − 4x + 4 ≤ 0.
💡 Hint: Check for perfect squares.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a quadratic inequality?
💡 Hint: Think about comparisons with quadratic expressions.
True or False: A quadratic inequality can have no solution.
💡 Hint: Consider the nature of the roots.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A company's profit is modeled by P(x) = -2x^2 + 8x - 5. Determine when the profit is greater than zero.
💡 Hint: First find the x-intercepts by setting P(x) = 0.
An object is projected from a height of 20 meters given by the equation h(t) = −4.9t^2 + 20t + 20. Find when the object is above 25 meters.
💡 Hint: Solve for t using the quadratic formula after rearranging the inequality.
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