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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Solve x² + 2x - 15 > 0
💡 Hint: Factor the expression first.
Question 2
Easy
Solve x² - 4x + 4 ≤ 0
💡 Hint: Look for perfect square trinomial.
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?
- Move all terms to one side
- Find the roots
- Analyze sign changes
💡 Hint: Think about how to arrange the terms.
Question 2
True or False: An inequality of the form ax² + bx + c < 0 can have multiple solutions.
- True
- False
💡 Hint: Consider how quadratic graphs behave.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Solve the inequality 4x² - 12x + 9 ≤ 0 and describe the implications of the solution geometrically.
💡 Hint: What does the discriminant tell you about the roots?
Question 2
For the inequality x² - 6x + 8 > 0, sketch the graph and indicate the solution set.
💡 Hint: How does the graph behave around the roots?
Challenge and get performance evaluation