Solving Inequalities   Trichotomey Property- For any two real numbers, a and b, exactly one of the following statements is true: a b.  Set-Builder.

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Presentation transcript:

Solving Inequalities

  Trichotomey Property- For any two real numbers, a and b, exactly one of the following statements is true: a b.  Set-Builder Notation- The expression of the solution set of an inequality, for example {x ∣x>9} Vocabulary

  > = Greater Than  < = Less Than  ○ = Open Circle, used for Greater Than and Less Than, means the number on the number line that the circle is on is NOT a part of the solution  ≥ = Greater Than or Equal To  ≤ = Less Than or Equal To  ● = Closed Circle, used for Greater Than or Equal To and Less Than or Equal To, means the number on the number line the circle is on IS a part of the solution Graphing on a Number Line

  12 < X  Flip the entire equation, including the inequality, around so that the variable is on the left.   Notice the sign went from. If Variable is on Right Side of Equation

  THE VARIABLE ALWAYS ENDS ON THE LEFT SIDE OF THE INEQUALITY. #1 Rule on Graphing on a Number Line

 Solve an Inequality Using +/-

 Multiplication Property of Inequalities Multiplication Property of Inequality If c is positiveIf a>b, then ac>bc If a<b, then ac<bc If c is negativeIf a>b, then ac<bc If a bc

 Division Property of Inequalities If c is positive If c is negative

 Solve an Inequality Using x/÷

 Solve a Multi-Step Inequality

 Write an Inequality

  1-5 Worksheet Homework