2. Find the set of integers that is greater than 2 and less than 7 Find the set of integers that is greater than 2 or less than 7 How do the use of the words and or or change the way a solution set is determined?

3. Compound Inequality TWO inequalities joined by the word AND or the word OR.

4. The graph of the inequality with the word and contains the INTERSECTION of the graphs of the two inequalities that form the compound inequality. Graph the solution set of x 5

5. You can write a compound inequality involving the word and as a single inequality: You can read this as x is BETWEEN 5 and 10 INCLUSIVE. This means that the solutions INCLUDE both 5 and 10. The graph of a compound inequality with the word or contains THE UNION of the two inequalities that form the compound inequality.

6. Graph the solution set of x 8

7. Examples: What compound inequality represents the following phrase? Graph the solutions. 1) all real numbers that are greater than 1 and less than 5: 2) all real numbers that are less than 10 or greater than 15 :

8. Writing and Solving a Compound Inequality: Writing and solving an inequality using the word and: Work on all three parts of the inequality at the SAME time.

9. Example: What are the solutions of -2 < x +2 < 5 ? Graph the solutions.

10. To solve a compound inequality involving or, you must solve BOTH the two inequalities that form the compound inequality. Example: What are the solutions toor Graph the solutions.

11. Write a compound inequality that each graph could represent.

12. Homework : Section 3.6pages 220-221 #’s 8-30 EVEN