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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Solve x^2 - 1 < 0.
💡 Hint: Find roots at x = -1 and x = 1.
Question 2
Easy
Solve x^2 - 9 ≥ 0.
💡 Hint: Identify roots and test intervals.
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 analyzing sign changes for a quadratic inequality?
- Identify roots
- Choose test points
- Divide the number line
💡 Hint: Think about the points where the expression equals zero.
Question 2
True or False: The sign of a quadratic expression changes at its roots.
- True
- False
💡 Hint: What happens to the graph at zero?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You are given the inequality x^2 - 6x + 5 < 0. Find the roots, intervals, test points, and represent the solution graphically.
💡 Hint: Factor to find the roots and test each interval.
Question 2
Given the inequality -x^2 + 3x + 4 ≥ 0, determine roots, evaluate signs, and express the solution set in interval notation.
💡 Hint: Focus on where the expression is above or equal to zero.
Challenge and get performance evaluation