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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Solve and graph x² < 4.
💡 Hint: What happens when x equals 2 and -2?
Question 2
Easy
Graph the inequality x² + 4x + 3 > 0.
💡 Hint: Which side of the roots are positive?
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 does the positive region of a parabola represent in a quadratic inequality?
- The inequality is false
- The inequality is true
- The roots of the equation
💡 Hint: Think about what positivity means for a quadratic expression.
Question 2
In the inequality ax² + bx + c ≤ 0, what can you say about a parabola with no real roots?
- True
- False
💡 Hint: Recall what the discriminant indicates.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Solve the inequality x² - 4x + 4 and graph. Discuss what your graph tells you.
💡 Hint: What does a flat point indicate about positive or negative values?
Question 2
Analyze the inequality -3x² + 12x - 9 > 0 and find the shaded region if applicable.
💡 Hint: Where does the parabola point with respect to the x-axis?
Challenge and get performance evaluation