Algebra – Inequalities

 

Inequalities

 
 

Introducing Inequalites

 

  • The 4 inequality signs   >   <   ≥   ≥
  • Representing inequalities on a number line
  • Finding values of x that solve the inequality
 

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Linear Inequalities

 

    • Solving linear inequalites such as:  8x + 4 ≥ -2x + 6
    • When dividing both sides of the inequality by a negative number, FLIP the inequality sign
    • When multiplying both sides of the inequality by a negative number, FLIP the inequality sign
 

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Graphing Linear Inequalities

 

  • Using the corresponding equality to determining the region on a graph that satisfies the inequality
  • Finding the area that satisfies two inequalities
 

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Quadratic Inequalities

 
  • Solving quadratic inequalities
  • Representing quadratic inequalities on a number line
  • Finding the region on a graph that satisfy a quadratic inequality
 

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Examples

 

SET I

Solving    x² < 3 - 2x

  • Using a number line
  • Highlight the section that satisfies the inequality

Solving    y < x² - 3x - 4

  • Highlight the section that satisfies the inequality
 

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