Practice - Concept Summary
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Practice Questions
Test your understanding with targeted questions
Solve x^2 + 2x - 15 > 0.
💡 Hint: Think about factoring the expression first.
Solve x^2 - 4x + 4 ≤ 0.
💡 Hint: Is this a perfect square?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the standard form of a quadratic inequality?
💡 Hint: What signifies a comparison in inequalities?
Are quadratic inequalities applicable in real-world applications?
💡 Hint: Think of problem-solving situations presented earlier.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove the inequality x^2 - 4x + 4 ≥ 0 holds for all real values of x and explain your reasoning.
💡 Hint: Consider the nature of perfect squares and their behavior on the number line.
Curve a projectile modeled by the function h(t) = -16t^2 + 64t - 48. For how long is the object's height greater than 0?
💡 Hint: Finding the roots will help you define the intervals where the height is above ground.
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