2. Solving Inequalities

3.   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

4.   > = 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

5.   12 < X  Flip the entire equation, including the inequality, around so that the variable is on the left.  12 12  Notice the sign went from. If Variable is on Right Side of Equation

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

7.  Solve an Inequality Using +/-

9.  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

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

11.  Solve an Inequality Using x/÷

13.  Solve a Multi-Step Inequality

15.  Write an Inequality

17.   1-5 Worksheet Homework