Practice Steps To Solve A Quadratic Inequality (2) - Quadratic Inequalities
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Steps to Solve a Quadratic Inequality

Practice - Steps to Solve a Quadratic Inequality

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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?

Challenge 2 Hard

For the inequality x² - 6x + 8 > 0, sketch the graph and indicate the solution set.

💡 Hint: How does the graph behave around the roots?

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