2. Statements of Inequality For any numbers a and b: Statement:Algebraic symbol: a is less than ba b a is greater than ba b a is less than or equal to ba b a is greater than or equal to b a b a is not equal to ba b Statements of Inequality For any numbers a and b: Statement:Algebraic symbol: a is less than ba b a is greater than ba b a is less than or equal to ba b a is greater than or equal to b a b a is not equal to ba b LESS POINTS LEFT!!!!

3. Example: Write an inequality to for each of the following. A.) All real numbers less than B.) 8 less than a number is or equal to 8greater than 12.

4. Example: Are the following numbers solutions to A.) B.)

5. Graphing Inequalities An open circle means the point is not included in the graph. A shaded in circle means the point is included in the graph.

6. Example: Graph the following inequalities. 1.)

7. 2.)

8. 3.)

9. 4.)

10. Writing an Inequality from a Graph: Given the GRAPH, you can write an inequality to represent the solutions. Examples: Write an inequality for each graph. 1.)

11. 2.)

12. Define a variable and write an inequality to model each situation. 1)No more than 10 people may use the treadmills at any time in the gym. Let n =NUMBER OF PEOPLE USING TREADMILLS Writing Real-World Inequalities

13. 2)To train for a marathon, a runner decides that she must run at least 12 miles each day. Let d =NUMBER OF MILES PER DAY

14. Homework : Section 3.1A pages 176-177 #’s 6-28 EVEN Section 3.1Bpages 180-183 #’s 10-32 EVEN

15. WHITE BOARD PROBLEMS: Solve and graph the following: 1) 2) 3)4) 5) 6)