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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Solve \(x^2 + 2x - 15 > 0\).
💡 Hint: Find the roots and analyze test points.
Question 2
Easy
Solve \(x^2 - 4x + 4 \leq 0\).
💡 Hint: What happens when you have a perfect square?
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the first step in solving a quadratic inequality?
- Identify the roots
- Rearrange to standard form
- Analyze sign changes
💡 Hint: Think of the general structure!
Question 2
True or False: A quadratic inequality can have no solution if the discriminant is negative.
- True
- False
💡 Hint: What can you say about the behavior of the quadratic?
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If given \(3x^2 - 2x + 1 > 0\), describe the implications of its discriminant.
💡 Hint: What does a negative discriminant tell you about real solutions?
Question 2
Given the quadratic inequality \(-2x^2 + 4x - 1 \, \geq 0\), find and analyze the roots.
💡 Hint: Don't forget to check the sign of 'a' to understand the parabola's opening!
Challenge and get performance evaluation