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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Solve the inequality (𝑥-1)² < 0. What do you conclude?
💡 Hint: Think about the nature of squares.
Question 2
Easy
Is (𝑥+3)² ≥ 0 true for all values of 𝑥? Explain why.
💡 Hint: Recall basic properties of squares.
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
If a quadratic expression is a perfect square, it can only be equal to zero at how many points?
- One point
- Two points
- No points
💡 Hint: Remember the definition of a perfect square.
Question 2
True or False: The inequality (𝑥−2)² can be negative.
- True
- False
💡 Hint: Reflect on the properties of squares.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove whether the inequality (𝑥−3)² < 4 holds for any value of x.
💡 Hint: How does a perfect square relate to the boundaries you compute?
Question 2
For the inequality (𝑥−1)² > 9, determine the values for x.
💡 Hint: Visualize both sides of the square to find your answers!
Challenge and get performance evaluation