9. Quadratic Inequalities

Sections

Navigate through the learning materials and practice exercises.

1. 1

   Key Concepts

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   This section introduces quadratic expressions and inequalities, explaining...

2. 1.1

   Quadratic Expressions

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   Quadratic inequalities are algebraic expressions that involve comparisons of...

3. 1.2

   Quadratic Inequalities

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   Quadratic inequalities involve comparing quadratic expressions to determine...

4. 2

   Steps To Solve A Quadratic Inequality

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   This section outlines the steps required to solve a quadratic inequality,...

5. 2.1

   Step 1: Move All Terms To One Side

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   This section focuses on the first step in solving quadratic inequalities,...

6. 2.2

   Step 2: Solve The Corresponding Equation

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   This section focuses on solving the corresponding quadratic equations as...

7. 2.3

   Step 3: Analyze Sign Changes

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   This section explains how to analyze sign changes in quadratic inequalities...

8. 2.4

   Step 4: Write The Solution

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   In this section, we detail how to write the solution to a quadratic...

9. 3

   Worked Examples

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   This section provides detailed worked examples to illustrate the process of...

10. 3.1

    Example 1: Solve 𝑥² − 5𝑥 + 6 < 0

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11. 3.2

    Example 2: Solve 2𝑥² − 8𝑥 + 6 ≥ 0

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    This section provides a detailed method for solving the quadratic inequality...

12. 4

    Graphical Representation

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    This section explains how to graphically represent quadratic inequalities,...

13. 5

    Special Cases

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    This section discusses special cases of quadratic inequalities, focusing on...

14. 5.1

    Case 1: No Real Roots

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    This section discusses quadratic inequalities that have no real roots,...

15. 5.2

    Case 2: Perfect Square

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    This section focuses on quadratic inequalities that present perfect square...

16. 6

    Real-World Applications

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    Quadratic inequalities have practical applications in various fields,...

17. 7

    Practice Exercises

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    This section presents practice exercises to reinforce understanding of...

18. 8

    Chapter Summary

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    Quadratic inequalities are key concepts in algebra that involve comparisons...

19. 8.1

    Concept Summary

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    Quadratic inequalities involve comparisons of quadratic expressions to...

20. 8.2

    General Form

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    This section outlines the concept of quadratic inequalities and explains how...

21. 8.3

    Solution Method

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    The Solution Method section outlines a structured approach to solving...

22. 8.4

    Tools

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    This section discusses tools essential for solving quadratic inequalities,...

23. 8.5

    Graph Insight

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    This section discusses the graphical representation of quadratic...